Bihermitian metrics on Del Pezzo surfaces

Mathematics – Differential Geometry

Scientific paper

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10 pages

Scientific paper

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.

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