K-correspondences and intrinsic pseudovolume forms

Details K-correspondences and intrinsic pseudovolume forms K-correspondences and intrinsic pseudovolume forms

2002-12-08

arxiv.org/abs/math/0212110v2

Mathematics

Algebraic Geometry

The two last conjectures are removed. They are wrong even for curves, as follows from work by Clozel and Ullmo. This was commu

Scientific paper

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.

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