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Communication Dans Un Congrès Année : 2002

K-correspondences and intrinsic pseudovolume forms

Claire Voisin
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Résumé

We 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.

Dates et versions

hal-00021777 , version 1 (25-03-2006)

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Claire Voisin. K-correspondences and intrinsic pseudovolume forms. Fano Conference (Conference organized to commemorate the 50th anniversary of the death of Gino Fano), 2002, Torino, Italy. ⟨hal-00021777⟩
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