Milne's correcting factor and derived de Rham cohomology
Documenta mathematica, Tome 21 (2016), pp. 39-48
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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.
DOI : 10.4171/dm/526
Classification : 11G25, 11S40, 14F40, 14G10
Mots-clés : zeta functions, special values, derived de Rham cohomology
@article{10_4171_dm_526,
     author = {Baptiste Morin},
     title = {Milne's correcting factor and derived de {Rham} cohomology},
     journal = {Documenta mathematica},
     pages = {39--48},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/526},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/526/}
}
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Baptiste Morin. Milne's correcting factor and derived de Rham cohomology. Documenta mathematica, Tome 21 (2016), pp. 39-48. doi: 10.4171/dm/526

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