Cycle classes and the syntomic regulator
| hal.structure.identifier | Dipartimento di Matematica Pura e Applicata [Padova] | |
| dc.contributor.author | CHIARELLOTTO, Bruno | |
| hal.structure.identifier | Dipartimento di Matematica Pura e Applicata [Padova] | |
| dc.contributor.author | CICCIONI, Alice | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MAZZARI, Nicola | |
| dc.date.accessioned | 2024-04-04T03:00:29Z | |
| dc.date.available | 2024-04-04T03:00:29Z | |
| dc.date.created | 2010-10-05 | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 1937-0652 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192820 | |
| dc.description.abstractEn | Let $V=Spec(R)$ and $R$ be a complete discrete valuation ring of mixed characteristic $(0,p)$. For any flat $R$-scheme $X$ we prove the compatibility of the de Rham fundamental class of the generic fiber and the rigid fundamental class of the special fiber. We use this result to construct a syntomic regulator map $r:CH^i(X/V,2i-n)\to H^n_{syn}(X,i)$, when $X$ is smooth over $V$, with values on the syntomic cohomology defined by A. Besser. Motivated by the previous result we also prove some of the Bloch-Ogus axioms for the syntomic cohomology theory, but viewed as an absolute cohomology theory. | |
| dc.language.iso | en | |
| dc.publisher | Mathematical Sciences Publishers | |
| dc.title.en | Cycle classes and the syntomic regulator | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.2140/ant.2013.7.533 | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.subject.hal | Mathématiques [math]/K-théorie et homologie [math.KT] | |
| dc.identifier.arxiv | 1006.0132 | |
| bordeaux.journal | Algebra & Number Theory | |
| bordeaux.page | 533-566 | |
| bordeaux.volume | 7 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00772050 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00772050v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Algebra%20&%20Number%20Theory&rft.date=2013&rft.volume=7&rft.issue=3&rft.spage=533-566&rft.epage=533-566&rft.eissn=1937-0652&rft.issn=1937-0652&rft.au=CHIARELLOTTO,%20Bruno&CICCIONI,%20Alice&MAZZARI,%20Nicola&rft.genre=article |
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