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arXiv · 1010.0043

Computing $α$-invariants of singular del Pezzo surfaces

Ivan Cheltsov·Dimitra Kosta
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Abstract

We prove new local inequality for divisors on surfaces and utilize it to compute $α$-invariants of singular del Pezzo surfaces, which implies that del Pezzo surfaces of degree one whose singular points are of type $\mathbb{A}_{1}$, $\mathbb{A}_{2}$, $\mathbb{A}_{3}$, $\mathbb{A}_{4}$, $\mathbb{A}_{5}$ or $\mathbb{A}_{6}$ are Kähler-Einstein.

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BibTeXRIS

Ivan Cheltsov, Dimitra Kosta. 2012-10-03. Computing $α$-invariants of singular del Pezzo surfaces. https://arxiv.org/abs/1010.0043

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