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Bihermitian metrics on Del Pezzo surfaces

Nigel Hitchin
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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 Kaehler structures). The construction appears to be linked to noncommutative geometry.

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Nigel Hitchin. 2006-08-09. Bihermitian metrics on Del Pezzo surfaces. https://arxiv.org/abs/math/0608213

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