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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Rigid Cohomology over Laurent Series Fields
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Beschreibung
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. 117,69 €
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Technische Daten
Erscheinungsdatum
27.05.2018
Sprache
Englisch
EAN
9783319809267
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Algebra and Applications
Sonderedition
Nein
Autor
Christopher Lazda
Seitenanzahl
267
Auflage
Softcover reprint of the original 1st edition 2016
Einbandart
Taschenbuch
Schlagwörter
p-adic cohomology, rigid geometry, local function fields, weight-monodromy, (φ,∇)-modules
Thema-Inhalt
PBMW - Algebraische Geometrie
PBH - Zahlentheorie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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