Closed symmetric 3-differentials on complex surfaces

Federico Buonerba, Dmitry Zakharov

Research output: Contribution to journalArticlepeer-review

Abstract

We give a necessary and sufficient condition for a non-degenerate symmetric 3-differential with non-zero Blaschke curvature on a complex surface to be locally representable as a product of three closed holomorphic 1-forms. We give two versions of this condition corresponding to different choices of coordinates, one of which defines a coordinate-free differential operator, answering a question of Bogomolov and de Oliveira.

Original languageEnglish
Pages (from-to)984-992
Number of pages9
JournalEuropean Journal of Mathematics
Volume2
Issue number4
DOIs
StatePublished - Dec 1 2016
Externally publishedYes

Keywords

  • Blaschke curvature
  • Closed differentials
  • Symmetric differentials

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