English

Bihermitian metrics on Del Pezzo surfaces

Differential Geometry 2007-05-23 v1

Abstract

From a hermitian metric on the anticanonical bundle on a Del Pezzo surface, and a holomorphic section of it, we construct a one parameter family of bihermitian metrics (or equivalently generalized Kaehler structures). The construction appears to be linked to noncommutative geometry.

Keywords

Cite

@article{arxiv.math/0608213,
  title  = {Bihermitian metrics on Del Pezzo surfaces},
  author = {Nigel Hitchin},
  journal= {arXiv preprint arXiv:math/0608213},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T17:40:23.573Z