English

Frobenius action on l-adic Chen-Ruan cohomology

Algebraic Geometry 2008-12-24 v2 Number Theory

Abstract

We extend the definition of the Chen-Ruan cohomology ring to smooth, proper, tame, Deligne-Mumford stacks over fields of positive characteristic and prove that a modified version of the Frobenius action preserves the product.

Keywords

Cite

@article{arxiv.math/0701213,
  title  = {Frobenius action on l-adic Chen-Ruan cohomology},
  author = {Michael A. Rose},
  journal= {arXiv preprint arXiv:math/0701213},
  year   = {2008}
}

Comments

Updated to match version published in Communication in Number Theory and Physics, 2007. Conjecture 6.3 has been replaced with a Theorem following the work of Yasuda. The title of the article has been updated

R2 v1 2026-07-22T17:49:00.726Z