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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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
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author Denis Conduché
Eleonora Palmieri
author_facet Denis Conduché
Eleonora Palmieri
author_sort Denis Conduché
collection DOAJ
description 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 />
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spelling doaj.art-17e05465c6c8452fbbddf05b3649fcee2022-12-21T18:25:14ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982006-10-0161114315693On Chern ratios for surfaces with ample cotangent bundleDenis ConduchéEleonora PalmieriIn 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 />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/111
spellingShingle Denis Conduché
Eleonora Palmieri
On Chern ratios for surfaces with ample cotangent bundle
Le Matematiche
title On Chern ratios for surfaces with ample cotangent bundle
title_full On Chern ratios for surfaces with ample cotangent bundle
title_fullStr On Chern ratios for surfaces with ample cotangent bundle
title_full_unstemmed On Chern ratios for surfaces with ample cotangent bundle
title_short On Chern ratios for surfaces with ample cotangent bundle
title_sort on chern ratios for surfaces with ample cotangent bundle
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/111
work_keys_str_mv AT denisconduche onchernratiosforsurfaceswithamplecotangentbundle
AT eleonorapalmieri onchernratiosforsurfaceswithamplecotangentbundle