English

Shtuka cohomology and special values of Goss L-functions

Number Theory 2018-08-03 v1

Abstract

Assuming everywhere good reduction we generalize the class number formula of Taelman to Drinfeld modules over arbitrary coefficient rings. In order to prove this formula we develop a theory of shtukas and their cohomology.

Keywords

Cite

@article{arxiv.1808.00839,
  title  = {Shtuka cohomology and special values of Goss L-functions},
  author = {M. Mornev},
  journal= {arXiv preprint arXiv:1808.00839},
  year   = {2018}
}

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209 pages