Coherent Analytic Sheaves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1984
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
265 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | . . . Je mehr ich über die Principien der Functionentheorie nachdenke - und ich thue dies unablässig -, um so fester wird meine Überzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C. R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Functionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Seminaire at the E. N. S. |
| Beschreibung: | 1 Online-Ressource (XVIII, 252 p) |
| ISBN: | 9783642695827 9783642695841 |
| DOI: | 10.1007/978-3-642-69582-7 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042422942 | ||
| 003 | DE-604 | ||
| 005 | 20240626 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1984 |||| o||u| ||||||eng d | ||
| 020 | |a 9783642695827 |c Online |9 978-3-642-69582-7 | ||
| 020 | |a 9783642695841 |c Print |9 978-3-642-69584-1 | ||
| 024 | 7 | |a 10.1007/978-3-642-69582-7 |2 doi | |
| 035 | |a (OCoLC)1184325730 | ||
| 035 | |a (DE-599)BVBBV042422942 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 515 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Grauert, Hans |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Coherent Analytic Sheaves |c by Hans Grauert, Reinhold Remmert |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1984 | |
| 300 | |a 1 Online-Ressource (XVIII, 252 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 265 | |
| 500 | |a . . . Je mehr ich über die Principien der Functionentheorie nachdenke - und ich thue dies unablässig -, um so fester wird meine Überzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C. R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Functionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Seminaire at the E. N. S. | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Global analysis (Mathematics) | |
| 650 | 4 | |a Analysis | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Kohärente analytische Garbe |0 (DE-588)4164482-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Garbentheorie |0 (DE-588)4155956-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kohärente analytische Garbe |0 (DE-588)4164482-7 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Garbentheorie |0 (DE-588)4155956-3 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Remmert, Reinhold |e Sonstige |4 oth | |
| 830 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 265 |w (DE-604)BV049758308 |9 265 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-69582-7 |x Verlag |3 Volltext |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
Datensatz im Suchindex
| _version_ | 1805079046850084864 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Grauert, Hans |
| author_facet | Grauert, Hans |
| author_role | aut |
| author_sort | Grauert, Hans |
| author_variant | h g hg |
| building | Verbundindex |
| bvnumber | BV042422942 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184325730 (DE-599)BVBBV042422942 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-69582-7 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nmm a2200000zcb4500</leader><controlfield tag="001">BV042422942</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240626</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1984 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642695827</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-642-69582-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642695841</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-642-69584-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-69582-7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184325730</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422942</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Grauert, Hans</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Coherent Analytic Sheaves</subfield><subfield code="c">by Hans Grauert, Reinhold Remmert</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1984</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XVIII, 252 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics</subfield><subfield code="v">265</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">. . . Je mehr ich über die Principien der Functionentheorie nachdenke - und ich thue dies unablässig -, um so fester wird meine Überzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C. R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Functionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Seminaire at the E. N. S.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global analysis (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kohärente analytische Garbe</subfield><subfield code="0">(DE-588)4164482-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Garbentheorie</subfield><subfield code="0">(DE-588)4155956-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kohärente analytische Garbe</subfield><subfield code="0">(DE-588)4164482-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Garbentheorie</subfield><subfield code="0">(DE-588)4155956-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Remmert, Reinhold</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics</subfield><subfield code="v">265</subfield><subfield code="w">(DE-604)BV049758308</subfield><subfield code="9">265</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-69582-7</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield></record></collection> |
| id | DE-604.BV042422942 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T06:38:45Z |
| institution | BVB |
| isbn | 9783642695827 9783642695841 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858359 |
| oclc_num | 1184325730 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XVIII, 252 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spelling | Grauert, Hans Verfasser aut Coherent Analytic Sheaves by Hans Grauert, Reinhold Remmert Berlin, Heidelberg Springer Berlin Heidelberg 1984 1 Online-Ressource (XVIII, 252 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 265 . . . Je mehr ich über die Principien der Functionentheorie nachdenke - und ich thue dies unablässig -, um so fester wird meine Überzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C. R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Functionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Seminaire at the E. N. S. Mathematics Global analysis (Mathematics) Analysis Mathematik Kohärente analytische Garbe (DE-588)4164482-7 gnd rswk-swf Garbentheorie (DE-588)4155956-3 gnd rswk-swf Kohärente analytische Garbe (DE-588)4164482-7 s 1\p DE-604 Garbentheorie (DE-588)4155956-3 s 2\p DE-604 Remmert, Reinhold Sonstige oth Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 265 (DE-604)BV049758308 265 https://doi.org/10.1007/978-3-642-69582-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Grauert, Hans Coherent Analytic Sheaves Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics Mathematics Global analysis (Mathematics) Analysis Mathematik Kohärente analytische Garbe (DE-588)4164482-7 gnd Garbentheorie (DE-588)4155956-3 gnd |
| subject_GND | (DE-588)4164482-7 (DE-588)4155956-3 |
| title | Coherent Analytic Sheaves |
| title_auth | Coherent Analytic Sheaves |
| title_exact_search | Coherent Analytic Sheaves |
| title_full | Coherent Analytic Sheaves by Hans Grauert, Reinhold Remmert |
| title_fullStr | Coherent Analytic Sheaves by Hans Grauert, Reinhold Remmert |
| title_full_unstemmed | Coherent Analytic Sheaves by Hans Grauert, Reinhold Remmert |
| title_short | Coherent Analytic Sheaves |
| title_sort | coherent analytic sheaves |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Kohärente analytische Garbe (DE-588)4164482-7 gnd Garbentheorie (DE-588)4155956-3 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Kohärente analytische Garbe Garbentheorie |
| url | https://doi.org/10.1007/978-3-642-69582-7 |
| volume_link | (DE-604)BV049758308 |
| work_keys_str_mv | AT grauerthans coherentanalyticsheaves AT remmertreinhold coherentanalyticsheaves |