Resolution of Singularities of Embedded Algebraic Surfaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
|
| Edition: | Second, Enlarged Edition |
| Series: | Springer Monographs in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic. The book also provides a self-contained introduction to birational algebraic geometry, based only on basic commutative algebra. In addition, it gives a short proof of analytic desingularization in characteristic zero for any dimension found in 1996 and based on a new avatar of an algorithmic trick employed in the original edition of the book. This new edition will inspire further progress in resolution of singularities of algebraic and arithmetical varieties which will be valuable for applications to algebraic geometry and number theory. It can can be used for a second year graduate course. The reference list has been updated |
| Physical Description: | 1 Online-Ressource (XII, 312 p) |
| ISBN: | 9783662035801 9783642083518 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-662-03580-1 |
Staff View
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042423268 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1998 |||| o||u| ||||||eng d | ||
| 020 | |a 9783662035801 |c Online |9 978-3-662-03580-1 | ||
| 020 | |a 9783642083518 |c Print |9 978-3-642-08351-8 | ||
| 024 | 7 | |a 10.1007/978-3-662-03580-1 |2 doi | |
| 035 | |a (OCoLC)1184501737 | ||
| 035 | |a (DE-599)BVBBV042423268 | ||
| 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 516.35 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Abhyankar, Shreeram S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Resolution of Singularities of Embedded Algebraic Surfaces |c by Shreeram S. Abhyankar |
| 250 | |a Second, Enlarged Edition | ||
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1998 | |
| 300 | |a 1 Online-Ressource (XII, 312 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 1439-7382 | |
| 500 | |a This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic. The book also provides a self-contained introduction to birational algebraic geometry, based only on basic commutative algebra. In addition, it gives a short proof of analytic desingularization in characteristic zero for any dimension found in 1996 and based on a new avatar of an algorithmic trick employed in the original edition of the book. This new edition will inspire further progress in resolution of singularities of algebraic and arithmetical varieties which will be valuable for applications to algebraic geometry and number theory. It can can be used for a second year graduate course. The reference list has been updated | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Geometry, algebraic | |
| 650 | 4 | |a Number theory | |
| 650 | 4 | |a Algebraic Geometry | |
| 650 | 4 | |a Number Theory | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Algebraische Fläche |0 (DE-588)4195660-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Auflösung von Singularitäten |0 (DE-588)4181537-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebraische Fläche |0 (DE-588)4195660-6 |D s |
| 689 | 0 | 1 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraische Fläche |0 (DE-588)4195660-6 |D s |
| 689 | 1 | 1 | |a Auflösung von Singularitäten |0 (DE-588)4181537-3 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-662-03580-1 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027858685 | ||
| 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 | |
Record in the Search Index
| _version_ | 1804153098807017472 |
|---|---|
| any_adam_object | |
| author | Abhyankar, Shreeram S. |
| author_facet | Abhyankar, Shreeram S. |
| author_role | aut |
| author_sort | Abhyankar, Shreeram S. |
| author_variant | s s a ss ssa |
| building | Verbundindex |
| bvnumber | BV042423268 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184501737 (DE-599)BVBBV042423268 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-03580-1 |
| edition | Second, Enlarged Edition |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02932nmm a2200577zc 4500</leader><controlfield tag="001">BV042423268</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1998 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662035801</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-662-03580-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642083518</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-642-08351-8</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-662-03580-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184501737</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042423268</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">516.35</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">Abhyankar, Shreeram S.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Resolution of Singularities of Embedded Algebraic Surfaces</subfield><subfield code="c">by Shreeram S. Abhyankar</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second, Enlarged Edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 312 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="0" ind2=" "><subfield code="a">Springer Monographs in Mathematics</subfield><subfield code="x">1439-7382</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic. The book also provides a self-contained introduction to birational algebraic geometry, based only on basic commutative algebra. In addition, it gives a short proof of analytic desingularization in characteristic zero for any dimension found in 1996 and based on a new avatar of an algorithmic trick employed in the original edition of the book. This new edition will inspire further progress in resolution of singularities of algebraic and arithmetical varieties which will be valuable for applications to algebraic geometry and number theory. It can can be used for a second year graduate course. The reference list has been updated</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, algebraic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraic Geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Fläche</subfield><subfield code="0">(DE-588)4195660-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Auflösung von Singularitäten</subfield><subfield code="0">(DE-588)4181537-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebraische Fläche</subfield><subfield code="0">(DE-588)4195660-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</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">Algebraische Fläche</subfield><subfield code="0">(DE-588)4195660-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Auflösung von Singularitäten</subfield><subfield code="0">(DE-588)4181537-3</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="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-662-03580-1</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</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><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027858685</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></record></collection> |
| id | DE-604.BV042423268 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662035801 9783642083518 |
| issn | 1439-7382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858685 |
| oclc_num | 1184501737 |
| 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 (XII, 312 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Springer Monographs in Mathematics |
| spelling | Abhyankar, Shreeram S. Verfasser aut Resolution of Singularities of Embedded Algebraic Surfaces by Shreeram S. Abhyankar Second, Enlarged Edition Berlin, Heidelberg Springer Berlin Heidelberg 1998 1 Online-Ressource (XII, 312 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic. The book also provides a self-contained introduction to birational algebraic geometry, based only on basic commutative algebra. In addition, it gives a short proof of analytic desingularization in characteristic zero for any dimension found in 1996 and based on a new avatar of an algorithmic trick employed in the original edition of the book. This new edition will inspire further progress in resolution of singularities of algebraic and arithmetical varieties which will be valuable for applications to algebraic geometry and number theory. It can can be used for a second year graduate course. The reference list has been updated Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Algebraische Fläche (DE-588)4195660-6 gnd rswk-swf Auflösung von Singularitäten (DE-588)4181537-3 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Algebraische Fläche (DE-588)4195660-6 s Singularität Mathematik (DE-588)4077459-4 s 1\p DE-604 Auflösung von Singularitäten (DE-588)4181537-3 s 2\p DE-604 https://doi.org/10.1007/978-3-662-03580-1 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 | Abhyankar, Shreeram S. Resolution of Singularities of Embedded Algebraic Surfaces Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Algebraische Fläche (DE-588)4195660-6 gnd Auflösung von Singularitäten (DE-588)4181537-3 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| subject_GND | (DE-588)4195660-6 (DE-588)4181537-3 (DE-588)4077459-4 |
| title | Resolution of Singularities of Embedded Algebraic Surfaces |
| title_auth | Resolution of Singularities of Embedded Algebraic Surfaces |
| title_exact_search | Resolution of Singularities of Embedded Algebraic Surfaces |
| title_full | Resolution of Singularities of Embedded Algebraic Surfaces by Shreeram S. Abhyankar |
| title_fullStr | Resolution of Singularities of Embedded Algebraic Surfaces by Shreeram S. Abhyankar |
| title_full_unstemmed | Resolution of Singularities of Embedded Algebraic Surfaces by Shreeram S. Abhyankar |
| title_short | Resolution of Singularities of Embedded Algebraic Surfaces |
| title_sort | resolution of singularities of embedded algebraic surfaces |
| topic | Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Algebraische Fläche (DE-588)4195660-6 gnd Auflösung von Singularitäten (DE-588)4181537-3 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| topic_facet | Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Algebraische Fläche Auflösung von Singularitäten Singularität Mathematik |
| url | https://doi.org/10.1007/978-3-662-03580-1 |
| work_keys_str_mv | AT abhyankarshreerams resolutionofsingularitiesofembeddedalgebraicsurfaces |