Abstract

We prove, for an arithmetic scheme X/S over a discrete valuation ring whose special fiber is a strict normal crossings divisor in X, that the Swan conductor of X/S is equal to the Euler characteristic of the torsion in the logarithmic de Rham complex of X/S. This is a precise logarithmic analog of a theorem by Bloch [1].

DOI

10.3906/mat-0902-30

First Page

451

Last Page

464

Recommended Citation

ÜNVER, S (2010). Swan conductors and torsion in the logarithmic de Rham complex. Turkish Journal of Mathematics 34 (4): 451-464. https://doi.org/10.3906/mat-0902-30

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