Milne's Correcting Factor and Derived De Rham Cohomology

Milne's correcting factor is a numerical invariant playing an important role in formulas for special values of zeta functions of varieties over finite fields. We show that Milne's factor is simply the Euler characteristic of the derived de Rham complex (relative to Z) modulo the Hodge filtration.

2010 Mathematics Subject Classification: 14G10, 14F40, 11S40, 11G25

Keywords and Phrases: Zeta functions, Special values, Derived de Rham cohomology

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