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Rigid Cohomology over Laurent Series Fields (Algebra and Applications, 21) by Christopher Lazda, Ambrus Pál (auth.) is a nonfiction available to read on EtoBox.

What is Rigid Cohomology over Laurent Series Fields (Algebra and Applications, 21) about?

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 backgroun

Who reads Rigid Cohomology over Laurent Series Fields (Algebra and Applications, 21)?

Author

Christopher Lazda, Ambrus Pál (auth.)

Publisher

Springer International Publishing : Imprint : Springer

Published

2016

Language

EN

ISBN

9783319309507

Category

nonfiction

Subjects

Mathematics, Algebra, Stem