Logarithmic De Rham, Infinitesimal and Betti Cohomologies

Simple item page
dc.creatorChiarellotto, Bruno
dc.creatorFornasiero, Marianna
dc.date2004-07-23
dc.date.accessioned2026-07-07T05:10:37Z
dc.date.available2026-07-07T05:10:37Z
dc.descriptionIn this article, we analyze the connection between the Log De Rham Cohomology of an fs (not necessary log smooth) log scheme $Y$ over $\mathbb C$ (for $Y$ admitting an exact closed immersion into an fs log smooth log scheme over $\mathbb C$), its Log Infinitesimal Cohomology $H^{^.}(Y^{log}_{inf}, \mathcal O_{Y^{log}_{inf}})$, and its Log Betti Cohomology, which is the Cohomology of its associated Kato-Nakayama topological space $Y^{an}_{log}$, and we prove that they are isomorphic. These results are the log scheme analogues of two classical comparison theorems.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0407402
dc.identifierhttp://arxiv.org/abs/math/0407402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71983
dc.subjectAlgebraic Geometry
dc.subject14FXX
dc.titleLogarithmic De Rham, Infinitesimal and Betti Cohomologies
dc.typetext

Files

Collections

arXiv