Bihermitian metrics on Del Pezzo surfaces

Nigel Hitchin

doi:jsg/1197491301

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Home > Journals > J. Symplectic Geom. > Volume 5 > Issue 1 > Article

March 2007 Bihermitian metrics on Del Pezzo surfaces

Nigel Hitchin

J. Symplectic Geom. 5(1): 1-8 (March 2007).

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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 Kähler structures). The construction appears to be linked to noncommutative geometry.