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arxiv: 1211.5344 · v1 · pith:KYTKUPFXnew · submitted 2012-11-22 · 🧮 math.DG · math.AG

Deformations of Nodal K\"ahler-Einstein Del Pezzo Surfaces with Discrete Automorphism Groups

classification 🧮 math.DG math.AG
keywords nodalpezzoadmitahler-einsteinautomorphismclosedeformationsdiscrete
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In this paper we prove that generic small partial smoothings of Kahler-Einstein (KE) Del Pezzo orbifolds with only nodal singularities, and with no non-zero holomorphic vector fields, admit orbifold KE metrics which are close in the Gromov-Hausdorff sense to the original KE metric.

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