MILNE'S CORRECTING FACTOR AND DERIVED DE RHAM COHOMOLOGY

Baptiste Morin (1)

1 IMB - Institut de Mathématiques de Bordeaux

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.

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]; Géométrie algébrique [math.AG]

Baptiste Morin. MILNE'S CORRECTING FACTOR AND DERIVED DE RHAM COHOMOLOGY. Documenta Mathematica, 2016. ⟨hal-02533654⟩