Verfügbarkeit: Rigid cohomology over Laurent series fields

Rigid cohomology over Laurent series fields:

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Lazda, Christopher (VerfasserIn), Pál, Ambrus (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	[Cham] Springer [2016]
Schriftenreihe:	Algebra and applications volume 21
Schlagworte:	Mathematics Algebraic geometry Number theory Algebraic Geometry Number Theory Mathematik Kristalline Kohomologie Verallgemeinerung Laurent-Reihe
Online-Zugang:	BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract
Beschreibung:	1 Online-Ressource (X, 267 Seiten)
ISBN:	9783319309514
DOI:	10.1007/978-3-319-30951-4

Internformat

MARC


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Datensatz im Suchindex

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adam_text	RIGID COHOMOLOGY OVER LAURENT SERIES FIELDS / LAZDA, CHRISTOPHER : 2016 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION FIRST DEFINITIONS AND BASIC PROPERTIES FINITENESS WITH COEFFICIENTS VIA A LOCAL MONODROMY THEOREM THE OVERCONVERGENT SITE, DESCENT, AND COHOMOLOGY WITH COMPACT SUPPORT ABSOLUTE COEFFICIENTS AND ARITHMETIC APPLICATIONS RIGID COHOMOLOGY ADIC SPACES AND RIGID SPACES COHOMOLOGICAL DESCENT INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. RIGID COHOMOLOGY OVER LAURENT SERIES FIELDS / LAZDA, CHRISTOPHER : 2016 ABSTRACT / INHALTSTEXT IN THIS MONOGRAPH, THE AUTHORS DEVELOP A NEW THEORY OF P-ADIC COHOMOLOGY FOR VARIETIES OVER LAURENT SERIES FIELDS IN POSITIVE CHARACTERISTIC, BASED ON BERTHELOT S THEORY OF RIGID COHOMOLOGY. MANY MAJOR FUNDAMENTAL PROPERTIES OF THESE COHOMOLOGY GROUPS ARE PROVEN, SUCH AS FINITE DIMENSIONALITY AND COHOMOLOGICAL DESCENT, AS WELL AS INTERPRETATIONS IN TERMS OF MONSKY-WASHNITZER COHOMOLOGY AND LE STUM S OVERCONVERGENT SITE. APPLICATIONS OF THIS NEW THEORY TO ARITHMETIC QUESTIONS, SUCH AS L-INDEPENDENCE AND THE WEIGHT MONODROMY CONJECTURE, ARE ALSO DISCUSSED. THE CONSTRUCTION OF THESE COHOMOLOGY GROUPS, ANALOGOUS TO THE GALOIS REPRESENTATIONS ASSOCIATED TO VARIETIES OVER LOCAL FIELDS IN MIXED CHARACTERISTIC, FILLS A MAJOR GAP IN THE STUDY OF ARITHMETIC COHOMOLOGY THEORIES OVER FUNCTION FIELDS. BY EXTENDING THE SCOPE OF EXISTING METHODS, THE RESULTS PRESENTED HERE ALSO SERVE AS A FIRST STEP TOWARDS A MORE GENERAL THEORY OF P-ADIC COHOMOLOGY OVER NON-PERFECT GROUND FIELDS. RIGID COHOMOLOGY OVER LAURENT SERIES FIELDS WILL PROVIDE A USEFUL TOOL FOR ANYONE INTERESTED IN THE ARITHMETIC OF VARIETIES OVER LOCAL FIELDS OF POSITIVE CHARACTERISTIC. APPENDICES ON IMPORTANT BACKGROUND MATERIAL SUCH AS RIGID COHOMOLOGY AND ADIC SPACES MAKE IT AS SELF-CONTAINED AS POSSIBLE, AND AN IDEAL STARTING POINT FOR GRADUATE STUDENTS LOOKING TO EXPLORE ASPECTS OF THE CLASSICAL THEORY OF RIGID COHOMOLOGY AND WITH AN EYE TOWARDS FUTURE RESEARCH IN THE SUBJECT DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Lazda, Christopher Pál, Ambrus
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spelling	Lazda, Christopher Verfasser (DE-588)1104274930 aut Rigid cohomology over Laurent series fields Christopher Lazda, Ambrus Pál [Cham] Springer [2016] © 2016 1 Online-Ressource (X, 267 Seiten) txt rdacontent c rdamedia cr rdacarrier Algebra and applications volume 21 Mathematics Algebraic geometry Number theory Algebraic Geometry Number Theory Mathematik Kristalline Kohomologie (DE-588)4494390-8 gnd rswk-swf Verallgemeinerung (DE-588)4316262-9 gnd rswk-swf Laurent-Reihe (DE-588)4192933-0 gnd rswk-swf Kristalline Kohomologie (DE-588)4494390-8 s Verallgemeinerung (DE-588)4316262-9 s Laurent-Reihe (DE-588)4192933-0 s DE-604 Pál, Ambrus Verfasser aut Erscheint auch als Druckausgabe 978-3-319-30950-7 Algebra and applications volume 21 (DE-604)BV035482291 21 https://doi.org/10.1007/978-3-319-30951-4 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961668&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=028961668&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Lazda, Christopher Pál, Ambrus Rigid cohomology over Laurent series fields Algebra and applications Mathematics Algebraic geometry Number theory Algebraic Geometry Number Theory Mathematik Kristalline Kohomologie (DE-588)4494390-8 gnd Verallgemeinerung (DE-588)4316262-9 gnd Laurent-Reihe (DE-588)4192933-0 gnd
subject_GND	(DE-588)4494390-8 (DE-588)4316262-9 (DE-588)4192933-0
title	Rigid cohomology over Laurent series fields
title_auth	Rigid cohomology over Laurent series fields
title_exact_search	Rigid cohomology over Laurent series fields
title_full	Rigid cohomology over Laurent series fields Christopher Lazda, Ambrus Pál
title_fullStr	Rigid cohomology over Laurent series fields Christopher Lazda, Ambrus Pál
title_full_unstemmed	Rigid cohomology over Laurent series fields Christopher Lazda, Ambrus Pál
title_short	Rigid cohomology over Laurent series fields
title_sort	rigid cohomology over laurent series fields
topic	Mathematics Algebraic geometry Number theory Algebraic Geometry Number Theory Mathematik Kristalline Kohomologie (DE-588)4494390-8 gnd Verallgemeinerung (DE-588)4316262-9 gnd Laurent-Reihe (DE-588)4192933-0 gnd
topic_facet	Mathematics Algebraic geometry Number theory Algebraic Geometry Number Theory Mathematik Kristalline Kohomologie Verallgemeinerung Laurent-Reihe
url	https://doi.org/10.1007/978-3-319-30951-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961668&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=028961668&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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work_keys_str_mv	AT lazdachristopher rigidcohomologyoverlaurentseriesfields AT palambrus rigidcohomologyoverlaurentseriesfields

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