K-correspondences and intrinsic pseudovolume forms
Algebraic Geometry
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0212110,
title = {K-correspondences and intrinsic pseudovolume forms},
author = {Claire Voisin},
journal= {arXiv preprint arXiv:math/0212110},
year = {2007}
}
Comments
The 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