K-correspondences and intrinsic pseudovolume forms

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
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

Keywords

Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/65922

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212110
 http://arxiv.org/abs/math/0212110

Collections

arXiv