Conductor formula of Bloch

@inproceedings{Kato2001ConductorFO,
  title={Conductor formula of Bloch},
  author={Kazuya Kato and Takeshi Saito},
  year={2001}
}
Conductor is a numerical invariant of a variety over a local field measuring the wild ramification of the inertia action on the l-adic etale cohomology. In [3], S.Bloch proposes a conjectural formula, Conjecture 1.9, which we call the conductor formula of Bloch. To formulate it, he defines another numerical invariant as the degree of the self-intersection class, which is defined using the localized chern class of the sheaf of differential 1-forms of a regular proper model of the variety. The… CONTINUE READING
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