On Chern ratios for surfaces with ample cotangent bundle

In this paper we study the problem of density in (1, 3) for the Chern ratio of surfaces with ample cotangent bundle. In particular we prove density in (1, 2) by constructing a family of complete intersection surfaces in a product of varieties with big cotangent bundle. We also analyse the case of co...

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Bibliographic Details
Main Authors: Denis Conduché, Eleonora Palmieri
Format: Article
Language:English
Published: Università degli Studi di Catania 2006-10-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/111
Description
Summary:In this paper we study the problem of density in (1, 3) for the Chern ratio of surfaces with ample cotangent bundle. In particular we prove density in (1, 2) by constructing a family of complete intersection surfaces in a product of varieties with big cotangent bundle. We also analyse the case of complete intersections in a product of curves of genus at least 2.<br />
ISSN:0373-3505
2037-5298