Rigid Cohomology over Laurent Series Fields

• Main Authors: Lazda, Christopher (Author), Pál, Ambrus (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Algebra and Applications, 21
• Subjects: 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...