Finitude cohomologique des morphismes propres en géométrie algébrique : une preuve transcendante sans techniques projectives

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dc.creatorDucros, Antoine
dc.date2006-12-18
dc.date.accessioned2026-07-07T07:35:43Z
dc.date.available2026-07-07T07:35:43Z
dc.descriptionWe propose here a transcendantal proof of the coherence of the higher direct images of a coherent sheaf by a proper morphism of algebraic varieties, which does not use Chow's lemma nor any projective method. The main tool here are comparison with coherent cohomology of a (Berkovich) analytic space over a trivially valued field, and Kiehls' theorem about the proper morphisms between rigid-analytic spaces.
dc.identifierhttps://arxiv.org/abs/math/0612521
dc.identifierhttp://arxiv.org/abs/math/0612521
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120189
dc.subjectAlgebraic Geometry
dc.subject14A15, 14F99
dc.titleFinitude cohomologique des morphismes propres en géométrie algébrique : une preuve transcendante sans techniques projectives
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