MILNE'S CORRECTING FACTOR AND DERIVED DE RHAM COHOMOLOGY II
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MORIN, Baptiste | |
| dc.date.accessioned | 2024-04-04T02:56:34Z | |
| dc.date.available | 2024-04-04T02:56:34Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 1431-0643 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192477 | |
| dc.description.abstractEn | Milne's correcting factor, which appears in the Zeta-value at s = n of a smooth projective variety X over a finite field Fq, is the Euler characteristic of the derived de Rham cohomology of X/Z modulo the Hodge filtration F n. In this note, we extend this result to arbitrary separated schemes of finite type over Fq of dimension at most d, provided resolution of singularities for schemes of dimension at most d holds. More precisely, we show that Geisser's generalization of Milne's factor, whenever it is well defined, is the Euler characteristic of the eh-cohomology with compact support of the derived de Rham complex relative to Z modulo F n . | |
| dc.language.iso | en | |
| dc.publisher | Universität Bielefeld | |
| dc.title.en | MILNE'S CORRECTING FACTOR AND DERIVED DE RHAM COHOMOLOGY II | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Documenta Mathematica | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02484928 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02484928v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Documenta%20Mathematica&rft.date=2016&rft.eissn=1431-0643&rft.issn=1431-0643&rft.au=MORIN,%20Baptiste&rft.genre=article |
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