Cohomological and geometric approaches to rationality problems: new perspectives
Gespeichert in:
Weitere Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Boston, Mass. [u.a.]
Birkhäuser
2010
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Schriftenreihe: | Progress in mathematics
282 |
Schlagworte: | |
Online-Zugang: | Cohomological and geometric approaches to rationality problems Klappentext Inhaltsverzeichnis |
Beschreibung: | IX, 311 S. Ill., graph. Darst. |
ISBN: | 9780817649333 |
Internformat
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Datensatz im Suchindex
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adam_text | Cohomological and Geometrie Approaehes
to Rationality Problems
New Perspectives
Fedor Bogomolov
and Yuri Tschinkel, Editors
Rationality problems link algebra to geometry. The difficulties
involved depend on the transcendence degree over the ground
field, or geometrically, on the dimension of the variety. A major
success in 19th century algebraic geometry was a complete
solution of the rationality problem in dimensions one and two
over algebraically closed ground fields of characteristic zero.
These advances have led to many interdisciplinary applications
of algebraic geometry.
This comprehensive text consists of surveys and research papers
by leading specialists in the field. Topics discussed include the
rationality of quotient spaces, cohomological invariants of finite
groups of Lie type, rationality of moduli spaces of curves, and
rational points on algebraic varieties.
This volume is intended for research mathematicians and graduate
students interested in algebraic geometry, and specifically in
rationality problems.
I. Bauer
С
Böhning
F.
Bogomolov
F. Catanese
I. Cheltsov
N.
Hoffmann
S.-J. Hu
M.-C. Rang
L. Katzarkov
B. Kunyavskii
A. Kuznetsov
J. Park
T.
Petrov
Yu. G. Prokhorov
A.V. Pukhlikov
Yu. Tschinkel
Titel: Cohomological and geometric approaches to rationality problems
Autor: Bogomolov, Fedor A.
Jahr: 2010
Contents
Preface.
vn
The Rationality of Certain Moduli Spaces of Curves of
Genus 3
Ingrid Bauer and Fabrizio Catane.se................................... 1
The Rationality of the Moduli Space of Curves of Genus 3 after
P. Katsylo
Christian Bohning..................................................... 17
Unramifled Cohomology of Finite Groups of Lie Type
Fedor Bogomolov, Tihomir Petrov and Yuri Tschinkel................. 55
Sextic Double Solids
Ivan Cheltsov and Jihun Park......................................... 75
Moduli Stacks of Vector Bundles on Curves and the King?
Schofield Rationality Proof
Norbert Hoffmann..................................................... 133
Noether s Problem for Some p-Groups
Shou-Jen Hu and Ming-dumg Rang................................... 149
Generalized Homological Mirror Symmetry and
Rationality Questions
Ludmil Katzarkov..................................................... 163
The Bogomolov Multiplier of Finite Simple Groups
Boris Kunyavskii ...................................................... 209
vi Contents
Derived Categories of Cubic Fourfolds
Alexander Kuznetsov.................................................. 219
Fields of Invariants of Finite Linear Groups
Yuri G. Prokhorov..................................................... 245
The Rationality Problem and Birational Rigidity
Aleksandr V. Pukhlikov................................................ 275
|
any_adam_object | 1 |
author2 | Bogomolov, Fedor A. 1946- |
author2_role | edt |
author2_variant | f a b fa fab |
author_GND | (DE-588)129921637 |
author_facet | Bogomolov, Fedor A. 1946- |
building | Verbundindex |
bvnumber | BV036087555 |
classification_rvk | SK 240 SK 260 |
ctrlnum | (OCoLC)495794884 (DE-599)DNB99519615X |
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 |
format | Book |
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isbn | 9780817649333 |
language | English |
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physical | IX, 311 S. Ill., graph. Darst. |
publishDate | 2010 |
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series | Progress in mathematics |
series2 | Progress in mathematics |
spelling | Cohomological and geometric approaches to rationality problems new perspectives Fedor Bogomolov ... ed. Boston, Mass. [u.a.] Birkhäuser 2010 IX, 311 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 282 Geometry, Algebraic Homology theory Rationale Funktion (DE-588)4225679-3 gnd rswk-swf Algebraische Varietät (DE-588)4581715-7 gnd rswk-swf Funktionenkörper (DE-588)4155688-4 gnd rswk-swf Funktionenkörper (DE-588)4155688-4 s Rationale Funktion (DE-588)4225679-3 s Algebraische Varietät (DE-588)4581715-7 s DE-604 Bogomolov, Fedor A. 1946- (DE-588)129921637 edt Erscheint auch als Online-Ausgabe 978-0-8176-4934-0 Progress in mathematics 282 (DE-604)BV000004120 282 http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=3690722&custom_att_2=simple_viewer Verlagsdaten Springer Cohomological and geometric approaches to rationality problems Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018978230&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018978230&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Cohomological and geometric approaches to rationality problems new perspectives Progress in mathematics Geometry, Algebraic Homology theory Rationale Funktion (DE-588)4225679-3 gnd Algebraische Varietät (DE-588)4581715-7 gnd Funktionenkörper (DE-588)4155688-4 gnd |
subject_GND | (DE-588)4225679-3 (DE-588)4581715-7 (DE-588)4155688-4 |
title | Cohomological and geometric approaches to rationality problems new perspectives |
title_auth | Cohomological and geometric approaches to rationality problems new perspectives |
title_exact_search | Cohomological and geometric approaches to rationality problems new perspectives |
title_full | Cohomological and geometric approaches to rationality problems new perspectives Fedor Bogomolov ... ed. |
title_fullStr | Cohomological and geometric approaches to rationality problems new perspectives Fedor Bogomolov ... ed. |
title_full_unstemmed | Cohomological and geometric approaches to rationality problems new perspectives Fedor Bogomolov ... ed. |
title_short | Cohomological and geometric approaches to rationality problems |
title_sort | cohomological and geometric approaches to rationality problems new perspectives |
title_sub | new perspectives |
topic | Geometry, Algebraic Homology theory Rationale Funktion (DE-588)4225679-3 gnd Algebraische Varietät (DE-588)4581715-7 gnd Funktionenkörper (DE-588)4155688-4 gnd |
topic_facet | Geometry, Algebraic Homology theory Rationale Funktion Algebraische Varietät Funktionenkörper |
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