Bihermitian metrics on Del Pezzo surfaces

2006/08/09 by Nigel Hitchin, Hitchin, Nigel
Mathematics · #53C55 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C55

paper · pdf · doi:10.48550/arxiv.math/0608213

10 pages

arxiv created 2006/08/09 · arxiv updated 2009/12/01

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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