Bihermitian metrics on Del Pezzo surfaces

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.

10 pages

References in corpus (3)

• Reduction of Courant algebroids and generalized complex structures
• Instantons, Poisson structures and generalized Kaehler geometry
• Symmetries in generalized Kähler geometry

Cited by in corpus (3)

• Generalized Kahler geometry
• Poisson sigma model on the sphere
• Bihermitian metrics on Hopf surfaces