K-correspondences and intrinsic pseudovolume forms

dc.creatorVoisin, Claire
dc.date2002-12-08
dc.date2003-01-05
dc.date.accessioned2026-07-07T04:53:37Z
dc.date.available2026-07-07T04:53:37Z
dc.descriptionWe introduce the notion of K-correspondence, and show that many Calabi-Yau varieties carry a lot of self-K-isocorrespondences, which furthermore satisfy the property of multiplying the canonical volume form by a constant of modulus different from 1. This leads to the introduction of a modified Kobayashi-Eisenman pseudovolume form, for which we are able to prove many instances of the Kobayashi conjecture.
dc.descriptionThe two last conjectures are removed. They are wrong even for curves, as follows from work by Clozel and Ullmo. This was communicated to me by K. Amerik
dc.identifierhttps://arxiv.org/abs/math/0212110
dc.identifierhttp://arxiv.org/abs/math/0212110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65922
dc.subjectAlgebraic Geometry
dc.titleK-correspondences and intrinsic pseudovolume forms
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