Closed symmetric 3-differentials on complex surfaces
Algebraic Geometry
2015-10-05 v1 Differential Geometry
Abstract
We give a necessary and sufficient condition for a non-degenerate symmetric 3-differential with nonzero 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.
Cite
@article{arxiv.1510.00430,
title = {Closed symmetric 3-differentials on complex surfaces},
author = {Federico Buonerba and Dmitry Zakharov},
journal= {arXiv preprint arXiv:1510.00430},
year = {2015}
}
Comments
10 pages