Skip to Main content Skip to Navigation
Journal articles

An ampleness criterion for rank 2 vector bundles on surfaces

Abstract : We observe that the proof of the Bogomolov stable restriction theorem can be adapted to give an ampleness criterion for globally generated rank 2 vector bundles on certain surfaces. This applies to the Lazarsfeld-Mukai bundles, to congruences of lines in P^3, and possibly to the construction of surfaces with ample cotangent bundle (help welcome!).
Document type :
Journal articles
Complete list of metadatas
Contributor : Arnaud Beauville <>
Submitted on : Tuesday, March 17, 2020 - 11:35:10 AM
Last modification on : Monday, October 12, 2020 - 10:27:34 AM

Links full text


  • HAL Id : hal-02509864, version 1
  • ARXIV : 1806.00243



Arnaud Beauville. An ampleness criterion for rank 2 vector bundles on surfaces. Vietnam Journal of Mathematics, Springer, 2020. ⟨hal-02509864⟩



Record views