L-series of Artin stacks over finite fields
| Autor: | Sun, Shenghao |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Algebra and Number Theory, 6:1 (2012), 47-122 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/ant.2012.6.47 |
| Popis: | 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. Comment: 58 pages |
| Databáze: | arXiv |
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