Closed symmetric 3-differentials on complex surfaces

Federico Buonerba, Dmitry Zakharov

Research output: Contribution to journalArticlepeer-review


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
Issue number4
StatePublished - Dec 1 2016
Externally publishedYes


  • Blaschke curvature
  • Closed differentials
  • Symmetric differentials


Dive into the research topics of 'Closed symmetric 3-differentials on complex surfaces'. Together they form a unique fingerprint.

Cite this