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Lecture Notes in Mathematics

Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties

Authors: Nakkajima, Yukiyoshi, Shiho, Atsushi

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About this book

In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes. Fundamental properties of these filtered complexes are proved, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered Künneth formula, the weight-filtered Poincaré duality, and the E2-degeneration of p-adic weight spectral sequences. In addition, the authors state some theorems on the weight filtration and the slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p>0.

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-540-70565-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-540-70564-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1959
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-70565-9
DOI
10.1007/978-3-540-70565-9
Softcover ISBN
978-3-540-70564-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 272
Topics