English

Having the same wild ramification is preserved by the direct image

Algebraic Geometry 2016-11-08 v1

Abstract

We introduce the notion that two elements of Grothendieck groups of constructible sheaves on a separated scheme over an excellent henselian discrete valuation ring have the same wild ramification. We prove that this condition is preserved by four of Grothendieck's six operations except the derived tensor product and the derived hom.

Cite

@article{arxiv.1611.01966,
  title  = {Having the same wild ramification is preserved by the direct image},
  author = {Yuri Yatagawa},
  journal= {arXiv preprint arXiv:1611.01966},
  year   = {2016}
}

Comments

12 pages

R2 v1 2026-06-22T16:43:55.945Z