DELTA INVARIANTS OF SINGULAR DEL PEZZO SURFACES

Ivan Cheltsov; Jihun Park; Constantin Shramov

doi:10.1007/s12220-020-00355-9

DELTA INVARIANTS OF SINGULAR DEL PEZZO SURFACES

Ivan Cheltsov, Jihun Park, Constantin Shramov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We use the methods introduced by Cheltsov–Rubinstein–Zhang in [CRZ18] to estimate invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov in [CPS10] that have invariants less than 2/3 . As a result, we verify that each of these surfaces admits an orbifold K¨ahler–Einstein metric.

Original language	English
Pages (from-to)	2354-2382
Journal	Journal of Geometric Analysis
Volume	31
Early online date	30 Jan 2020
DOIs	https://doi.org/10.1007/s12220-020-00355-9
Publication status	Published - 31 Mar 2021

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title = "DELTA INVARIANTS OF SINGULAR DEL PEZZO SURFACES",

abstract = "We use the methods introduced by Cheltsov–Rubinstein–Zhang in [CRZ18] to estimate invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov in [CPS10] that have invariants less than 2/3 . As a result, we verify that each of these surfaces admits an orbifold K¨ahler–Einstein metric.",

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AU - Park, Jihun

AU - Shramov, Constantin

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N2 - We use the methods introduced by Cheltsov–Rubinstein–Zhang in [CRZ18] to estimate invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov in [CPS10] that have invariants less than 2/3 . As a result, we verify that each of these surfaces admits an orbifold K¨ahler–Einstein metric.

AB - We use the methods introduced by Cheltsov–Rubinstein–Zhang in [CRZ18] to estimate invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov in [CPS10] that have invariants less than 2/3 . As a result, we verify that each of these surfaces admits an orbifold K¨ahler–Einstein metric.

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DO - 10.1007/s12220-020-00355-9

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VL - 31

SP - 2354

EP - 2382

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

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DELTA INVARIANTS OF SINGULAR DEL PEZZO SURFACES

Abstract

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