Varieties with ample cotangent bundle
type: Dataset
description: The aim of this article is to provide methods for constructing smooth projective complex varieties with ample cotangent bundle. We prove that the intersection of at least n/2 sufficiently ample general hypersurfaces in a complex abelian variety of dimension n has ample cotangent bundle. We also discuss analogous questions for complete intersections in the projective space. Finally, we present an unpublished result of Bogomolov which states that a general linear section of small dimension of a product of sufficiently many smooth projective varieties with big cotangent bundle has ample cotangent bundle.
issued: 2026-05-09T11:38:49.748901
language: en
modified: 2026-05-09T11:38:49.748906
contact point: Organization
  fn: CCSD
keyword: 14k12-14m10
keyword: ample-cotangent-bundle
keyword: complete-intersections
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: mathmath-agmathematics-mathalgebraic-geometry-mathag
landing page: 0010-437X

Varieties with ample cotangent bundle
type: Distribution
format: HTML
issued: 2026-05-09T11:38:49.760485
modified: 2026-05-09T11:38:49.740733
access URL: https://hal.science/hal-00087003

test_moissonnage_selune
type: Agent