Rigid Cohomology over Laurent Series Fields

• Κύριοι συγγραφείς: Lazda, Christopher (Συγγραφέας), Pál, Ambrus (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Algebra and Applications, 21
• Θέματα: Mathematics.; Algebraic geometry.; Number theory.; Algebraic Geometry.; Number Theory.

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 a...

Πίνακας περιεχομένων:

• 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.