Holdings: Arithmetic geometry over global function fields

Arithmetic geometry over global function fields:

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Bibliographic Details
Format:	Electronic eBook
Language:	English
Published:	Basel [u.a.] Birkhäuser Springer 2014
Series:	Advanced courses in mathematics - CRM Barcelona
Subjects:	Arithmetische Geometrie Zetafunktion Algebraischer Funktionenkörper L-Funktion Graduate L-functions cohomology theory t-motives Drinfeld modules Gamma functions Zeta and Multizeta functions Electronic book text Aufsatzsammlung
Online Access:	DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9783034808521 9783034808538
DOI:	10.1007/978-3-0348-0853-8

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adam_text	ARITHMETIC GEOMETRY OVER GLOBAL FUNCTION FIELDS / BOECKLE, GEBHARD : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS COHOMOLOGICAL THEORY OF CRYSTALS OVER FUNCTION FIELDS AND APPLICATIONS ON GEOMETRIC IWASAWA THEORY AND SPECIAL VALUES OF ZETA FUNCTIONS THE ONGOING BINOMIAL REVOLUTION ARITHMETIC OF GAMMA, ZETA AND MULTIZETA VALUES FOR FUNCTION FIELDS CURVES AND JACOBIANS OVER FUNCTION FIELDS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ARITHMETIC GEOMETRY OVER GLOBAL FUNCTION FIELDS / BOECKLE, GEBHARD : 2014 ABSTRACT / INHALTSTEXT THIS VOLUME COLLECTS THE TEXTS OF FIVE COURSES GIVEN IN THE ARITHMETIC GEOMETRY RESEARCH PROGRAMME 2009–2010 AT THE CRM BARCELONA. ALL OF THEM DEAL WITH CHARACTERISTIC P GLOBAL FIELDS; THE COMMON THEME AROUND WHICH THEY ARE CENTERED IS THE ARITHMETIC OF L-FUNCTIONS (AND OTHER SPECIAL FUNCTIONS), INVESTIGATED IN VARIOUS ASPECTS. THREE COURSES EXAMINE SOME OF THE MOST IMPORTANT RECENT IDEAS IN THE POSITIVE CHARACTERISTIC THEORY DISCOVERED BY GOSS (A FIELD IN TUMULTUOUS DEVELOPMENT, WHICH IS SEEING A NUMBER OF SPECTACULAR ADVANCES): THEY COVER RESPECTIVELY CRYSTALS OVER FUNCTION FIELDS (WITH A NUMBER OF APPLICATIONS TO L-FUNCTIONS OF T-MOTIVES), GAMMA AND ZETA FUNCTIONS IN CHARACTERISTIC P, AND THE BINOMIAL THEOREM. THE OTHER TWO ARE FOCUSED ON TOPICS CLOSER TO THE CLASSICAL THEORY OF ABELIAN VARIETIES OVER NUMBER FIELDS: THEY GIVE RESPECTIVELY A THOROUGH INTRODUCTION TO THE ARITHMETIC OF JACOBIANS OVER FUNCTION FIELDS (INCLUDING THE CURRENT STATUS OF THE BSD CONJECTURE AND ITS GEOMETRIC ANALOGUES, AND THE CONSTRUCTION OF MORDELL–WEIL GROUPS OF HIGH RANK) AND A STATE OF THE ART SURVEY OF GEOMETRIC IWASAWA THEORY EXPLAINING THE RECENT PROOFS OF VARIOUS VERSIONS OF THE MAIN CONJECTURE, IN THE COMMUTATIVE AND NON-COMMUTATIVE SETTINGS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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series2	Advanced courses in mathematics - CRM Barcelona
spelling	Arithmetic geometry over global function fields Gebhard Böckle ... Basel [u.a.] Birkhäuser Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Advanced courses in mathematics - CRM Barcelona Arithmetische Geometrie (DE-588)4131383-5 gnd rswk-swf Zetafunktion (DE-588)4190764-4 gnd rswk-swf Algebraischer Funktionenkörper (DE-588)4141850-5 gnd rswk-swf L-Funktion (DE-588)4137026-0 gnd rswk-swf Graduate L-functions cohomology theory t-motives Drinfeld modules Gamma functions Zeta and Multizeta functions Electronic book text (DE-588)4143413-4 Aufsatzsammlung gnd-content Algebraischer Funktionenkörper (DE-588)4141850-5 s L-Funktion (DE-588)4137026-0 s Zetafunktion (DE-588)4190764-4 s Arithmetische Geometrie (DE-588)4131383-5 s DE-604 Böckle, Gebhard 1964- Sonstige (DE-588)1052651798 oth https://doi.org/10.1007/978-3-0348-0853-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027655028&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027655028&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Arithmetic geometry over global function fields Arithmetische Geometrie (DE-588)4131383-5 gnd Zetafunktion (DE-588)4190764-4 gnd Algebraischer Funktionenkörper (DE-588)4141850-5 gnd L-Funktion (DE-588)4137026-0 gnd
subject_GND	(DE-588)4131383-5 (DE-588)4190764-4 (DE-588)4141850-5 (DE-588)4137026-0 (DE-588)4143413-4
title	Arithmetic geometry over global function fields
title_auth	Arithmetic geometry over global function fields
title_exact_search	Arithmetic geometry over global function fields
title_full	Arithmetic geometry over global function fields Gebhard Böckle ...
title_fullStr	Arithmetic geometry over global function fields Gebhard Böckle ...
title_full_unstemmed	Arithmetic geometry over global function fields Gebhard Böckle ...
title_short	Arithmetic geometry over global function fields
title_sort	arithmetic geometry over global function fields
topic	Arithmetische Geometrie (DE-588)4131383-5 gnd Zetafunktion (DE-588)4190764-4 gnd Algebraischer Funktionenkörper (DE-588)4141850-5 gnd L-Funktion (DE-588)4137026-0 gnd
topic_facet	Arithmetische Geometrie Zetafunktion Algebraischer Funktionenkörper L-Funktion Aufsatzsammlung
url	https://doi.org/10.1007/978-3-0348-0853-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027655028&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027655028&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT bocklegebhard arithmeticgeometryoverglobalfunctionfields

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