Local cohomology sheaves on algebraic stacks:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2014
|
| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-305391 Inhaltsverzeichnis |
| Beschreibung: | 80 S. graph. Darst. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV042049138 | ||
| 003 | DE-604 | ||
| 005 | 20150220 | ||
| 007 | t | ||
| 008 | 140828s2014 d||| m||| 00||| eng d | ||
| 035 | |a (OCoLC)890027052 | ||
| 035 | |a (DE-599)BVBBV042049138 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-473 |a DE-703 |a DE-1051 |a DE-824 |a DE-29 |a DE-12 |a DE-91 |a DE-19 |a DE-1049 |a DE-92 |a DE-739 |a DE-898 |a DE-355 |a DE-706 |a DE-20 |a DE-1102 | ||
| 082 | 0 | |a 510 | |
| 084 | |a SK 300 |0 (DE-625)143230: |2 rvk | ||
| 100 | 1 | |a Sitte, Tobias |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Local cohomology sheaves on algebraic stacks |c vorgelegt von Tobias Sitte |
| 264 | 1 | |c 2014 | |
| 300 | |a 80 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Regensburg, Univ., Diss., 2014 | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o urn:nbn:de:bvb:355-epub-305391 |
| 856 | 4 | 1 | |u http://epub.uni-regensburg.de/30539/ |x Verlag |z kostenfrei |3 Volltext |
| 856 | 4 | |u https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-305391 |x Resolving-System | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027490270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 912 | |a ebook | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027490270 | ||
Datensatz im Suchindex
| _version_ | 1804152480631619584 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION I
1 CATEGORICAL PRELIMINARIES 1
1.1 LOCALLY ... CATEGORIES 1
1.2 LOCALIZING SUBCATEGORIES 6
1.3 DUALIZABLE OBJECTS IN CLOSED SYMMETRIC MONOIDAL CATEGORIES 12
1.4 UNBOUNDED DERIVED CATEGORIES AND DERIVED FUNCTORS 13
2 LOCAL COHOMOLOGY FOR SCHEMES 15
2.1 DEFINITION VIA A LOCALIZING PAIR 15
2.2 SPECIAL CASE: AFFINE SCHEMES 18
2.3 LOCAL COHOMOLOGY SHEAVES AND EXT SHEAVES 23
3 ALGEBRAIC STACKS AND HOPF ALGEBROIDS 29
3.1 SHORT INTRODUCTION TO ALGEBRAIC STACKS 29
3.2 THE TOPOS FP
QC
AND QUASI-COHERENT SHEAVES 31
3.3 CONNECTION WITH HOPF ALGEBROIDS 33
3.4 THE CATEGORIES OF QUASI-COHERENT SHEAVES AND COMODULES 34
3.4.1 QUASI-COHERENT SHEAVES ON ALGEBRAIC STACKS 34
3.4.2 COMODULES ON HOPF ALGEBROIDS 34
3.4.3 EQUIVALENCE OF QUASI-COHERENT SHEAVES AND COMODULES 39
3.5 THE CLOSED SYMMETRIC MONOIDAL STRUCTURE 40
3.6 PROPERTIES OF ALGEBRAIC STACKS 50
3.6.1 THE ADAMS CONDITION AND THE STRONG RESOLUTION PROPERTY 50
3.6.2 COHERENT AND NOETHERIAN ALGEBRAIC STACKS 51
3.7 SHEAF COHOMOLOGY 53
4 LOCAL COHOMOLOGY SHEAVES FOR ALGEBRAIC STACKS 55
4.1 DEFINITION AND FIRST PROPERTIES 55
4.2 PRESERVATION OF FILTERED COLIMITS 58
4.3 TRANSLATION TO HOPF ALGEBROIDS 61
4.4 COMPARISON WITH THE SCHEME SITUATION 62
5 APPLICATION: THE STACK OF FORMAL GROUPS 67
5.1 THE HOPF ALGEBROID (BP*,BP*BP) 67
5.2 LOCAL COHOMOLOGY SHEAVES ON AIFG
AND CHROMATIC CONVERGENCE 69
INDEX 75
REFERENCES 77
HTTP://D-NB.INFO/1058666843
|
| any_adam_object | 1 |
| author | Sitte, Tobias |
| author_facet | Sitte, Tobias |
| author_role | aut |
| author_sort | Sitte, Tobias |
| author_variant | t s ts |
| building | Verbundindex |
| bvnumber | BV042049138 |
| classification_rvk | SK 300 |
| collection | ebook |
| ctrlnum | (OCoLC)890027052 (DE-599)BVBBV042049138 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01478nam a2200349 c 4500</leader><controlfield tag="001">BV042049138</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150220 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">140828s2014 d||| m||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)890027052</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042049138</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</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-473</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-1051</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-1049</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-1102</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Sitte, Tobias</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Local cohomology sheaves on algebraic stacks</subfield><subfield code="c">vorgelegt von Tobias Sitte</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">80 S.</subfield><subfield code="b">graph. Darst.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Regensburg, Univ., Diss., 2014</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="o">urn:nbn:de:bvb:355-epub-305391</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://epub.uni-regensburg.de/30539/</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-305391</subfield><subfield code="x">Resolving-System</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027490270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ebook</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027490270</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV042049138 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:11:23Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027490270 |
| oclc_num | 890027052 |
| open_access_boolean | 1 |
| owner | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 |
| owner_facet | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 |
| physical | 80 S. graph. Darst. |
| psigel | ebook |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| record_format | marc |
| spelling | Sitte, Tobias Verfasser aut Local cohomology sheaves on algebraic stacks vorgelegt von Tobias Sitte 2014 80 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regensburg, Univ., Diss., 2014 (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-epub-305391 http://epub.uni-regensburg.de/30539/ Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-305391 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027490270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sitte, Tobias Local cohomology sheaves on algebraic stacks |
| subject_GND | (DE-588)4113937-9 |
| title | Local cohomology sheaves on algebraic stacks |
| title_auth | Local cohomology sheaves on algebraic stacks |
| title_exact_search | Local cohomology sheaves on algebraic stacks |
| title_full | Local cohomology sheaves on algebraic stacks vorgelegt von Tobias Sitte |
| title_fullStr | Local cohomology sheaves on algebraic stacks vorgelegt von Tobias Sitte |
| title_full_unstemmed | Local cohomology sheaves on algebraic stacks vorgelegt von Tobias Sitte |
| title_short | Local cohomology sheaves on algebraic stacks |
| title_sort | local cohomology sheaves on algebraic stacks |
| topic_facet | Hochschulschrift |
| url | http://epub.uni-regensburg.de/30539/ https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-305391 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027490270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sittetobias localcohomologysheavesonalgebraicstacks |