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Delta Invariants of Singular del Pezzo Surfaces
We use the methods introduced by Cheltsov–Rubinstein–Zhang (Sel Math (N.S.) 25(2):25–34, 2019 ) to estimate δ -invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov (J Geom Anal 20(4):787–816, 2010 ) that have α -invariants less than 2 3 . A...
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| Published in: | The Journal of geometric analysis 2021-03, Vol.31 (3), p.2354-2382 |
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| Main Authors: | , , |
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| container_issue | 3 |
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| container_title | The Journal of geometric analysis |
| container_volume | 31 |
| creator | Cheltsov, Ivan Park, Jihun Shramov, Constantin |
| description | We use the methods introduced by Cheltsov–Rubinstein–Zhang (Sel Math (N.S.) 25(2):25–34,
2019
) to estimate
δ
-invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov (J Geom Anal 20(4):787–816,
2010
) that have
α
-invariants less than
2
3
. As a result, we verify that each of these surfaces admits an orbifold Kähler–Einstein metric. |
| doi_str_mv | 10.1007/s12220-020-00355-9 |
| format | article |
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2019
) to estimate
δ
-invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov (J Geom Anal 20(4):787–816,
2010
) that have
α
-invariants less than
2
3
. As a result, we verify that each of these surfaces admits an orbifold Kähler–Einstein metric.</description><identifier>ISSN: 1050-6926</identifier><identifier>EISSN: 1559-002X</identifier><identifier>DOI: 10.1007/s12220-020-00355-9</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Abstract Harmonic Analysis ; Convex and Discrete Geometry ; Differential Geometry ; Dynamical Systems and Ergodic Theory ; Fourier Analysis ; Geometry ; Global Analysis and Analysis on Manifolds ; Invariants ; Mathematics ; Mathematics and Statistics ; Quotients</subject><ispartof>The Journal of geometric analysis, 2021-03, Vol.31 (3), p.2354-2382</ispartof><rights>The Author(s) 2020</rights><rights>The Author(s) 2020. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c402t-de6e6948d4b7290080c31c8d9206e9de5e9d6e1fd813445b418564aa39bd121d3</citedby><cites>FETCH-LOGICAL-c402t-de6e6948d4b7290080c31c8d9206e9de5e9d6e1fd813445b418564aa39bd121d3</cites><orcidid>0000-0002-6820-8073</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27922,27923</link.rule.ids></links><search><creatorcontrib>Cheltsov, Ivan</creatorcontrib><creatorcontrib>Park, Jihun</creatorcontrib><creatorcontrib>Shramov, Constantin</creatorcontrib><title>Delta Invariants of Singular del Pezzo Surfaces</title><title>The Journal of geometric analysis</title><addtitle>J Geom Anal</addtitle><description>We use the methods introduced by Cheltsov–Rubinstein–Zhang (Sel Math (N.S.) 25(2):25–34,
2019
) to estimate
δ
-invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov (J Geom Anal 20(4):787–816,
2010
) that have
α
-invariants less than
2
3
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2019
) to estimate
δ
-invariants of the seven singular del Pezzo surfaces with quotient singularities studied by Cheltsov–Park–Shramov (J Geom Anal 20(4):787–816,
2010
) that have
α
-invariants less than
2
3
. As a result, we verify that each of these surfaces admits an orbifold Kähler–Einstein metric.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s12220-020-00355-9</doi><tpages>29</tpages><orcidid>https://orcid.org/0000-0002-6820-8073</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Invariants Mathematics Mathematics and Statistics Quotients |
| title | Delta Invariants of Singular del Pezzo Surfaces |
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