Fujiwara’s theorem for equivariant correspondences

Olsson, Martin

doi:10.1090/S1056-3911-2014-00628-7

Author: Martin Olsson
Journal: J. Algebraic Geom. 24 (2015), 401-497
DOI: https://doi.org/10.1090/S1056-3911-2014-00628-7
Published electronically: May 28, 2014
MathSciNet review: 3344762
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Abstract | References | Additional Information

Abstract: In this paper we study a generalization to stacks of Fujiwara’s theorem on the traces of correspondences acting on the cohomology of varieties over finite fields. We explain how to define naive local terms in the stack-theoretic context and state a conjectural generalization of Fujiwara’s theorem in this setting. We prove the conjecture for correspondences arising from group actions.

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Additional Information

Martin Olsson
Affiliation: Department of Mathematics, University of California Berkeley, Berkeley, California
MR Author ID: 718643

Received by editor(s): February 25, 2012
Published electronically: May 28, 2014
Additional Notes: The author was partially supported by NSF grants DMS-0714086 and DMS-0748718, and an Alfred P. Sloan Research Fellowship.
Article copyright: © Copyright 2014 University Press, Inc.