Ramification of local fields with imperfect residue fields. II.
Trace Formula for Vanishing Cycles of Curves.
?-factor of a tamely ramified sheaf on a variety.
The sign of the functional equation of the L-function of an orthogonal motive.
The discriminants of curves of genus 2
Local constant of Ind...1.
Parity in Bloch’s conductor formula in even dimension
For a variety over a local field, Bloch proposed a conjectural formula for the alternating sum of Artin conductor of -adic cohomology. We prove that the formula is valid modulo 2 if the variety has even dimension.
On the conductor formula of Bloch
In [6], S. Bloch conjectures a formula for the Artin conductor of the ℓ-adic etale cohomology of a regular model of a variety over a local field and proves it for a curve. The formula, which we call the conductor formula of Bloch, enables us to compute the conductor that measures the wild ramification by using the sheaf of differential 1-forms. In this paper, we prove the formula in arbitrary dimension under the assumption that the reduced closed fiber has normal crossings.
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