L-series of Artin stacks over finite fields

Details L-series of Artin stacks over finite fields L-series of Artin stacks over finite fields

2010-08-22

arxiv.org/abs/1008.3689v2

Mathematics

Algebraic Geometry

58 pages

Scientific paper

We reprove the Lefschetz trace formula for stacks (in the context of derived categories and the six operations for stacks developed by Laszlo and Olsson), and give the meromorphic continuation of L-series (in particular, zeta functions) of Artin stacks over a finite field. We also give an upper bound for the weights of the cohomology groups of stacks, and an "independence of l" result for a certain class of quotient stacks.

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