Journal of Symplectic Geometry
Volume 5 (2007)
Bihermitian metrics on Del Pezzo surfaces
Pages: 1 – 8
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 Kähler structures). The construction appears to be linked to noncommutative geometry.