Ramification theory for varieties over a perfect field

Details Ramification theory for varieties over a perfect field Ramification theory for varieties over a perfect field

2004-02-02

arxiv.org/abs/math/0402010v2

Annals of Mathematics Vol. 168 (2008), No. 1, 33-96

Mathematics

Algebraic Geometry

62 pages, latex, contents changed on 05/05/16

Scientific paper

For an $\ell$-adic sheaf on a variety of arbitrary dimension over a perfect
field, we define the Swan class measuring the wild ramification as a 0-cycle
class supported on the ramification locus. We prove a Lefschetz trace formula
for open varieties and a generalization of the Grothendieck-Ogg-Shararevich
formula using the Swan class.

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