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Weight Filtration and Slope Filtration on the Rigid Cohomology of a Variety in Characteristic \(p>0\)
Yukiyoshi Nakkajima, Tokyo Deni University, Japan
A publication of the Société Mathématique de France.
cover
Mémoires de la Société Mathématique de France
2012; 250 pp; softcover
Number: 130/131
ISBN-13: 978-2-85629-376-8
List Price: US$90
Member Price: US$72
Order Code: SMFMEM/130/131
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Not yet published.
Expected publication date is April 28, 2014.

The author constructs a theory of weights on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic \(p>0\) by using the log crystalline cohomology of a split proper hypercovering of the scheme. The author also calculates the slope filtration on the rigid cohomology by using the cohomology of the log de Rham-Witt complex of the hypercovering.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in rigid cohomology.

Table of Contents

  • Introduction
  • Part I. Weight filtration on the log crystalline cohomology of a simplicial family of open smooth varieties in characteristic \(p > 0\)
  • Part II. Weight filtration and slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic \(p > 0\)
  • Part III. Weight filtrations and slope filtrations on rigid cohomologies with closed support and with compact support
  • Bibliography
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