Log canonical thresholds of certain Fano hypersurfaces |
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Authors: | Ivan Cheltsov Jihun Park Joonyeong Won |
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Institution: | 1. School of Mathematics, The University of Edinburgh, Edinburgh, EH9 3JZ, UK 2. IBS Center for Geometry and Physics, Institute for Basic Science and Department of Mathematics, POSTECH, Pohang, 790-784, Gyeongbuk, Korea 3. KIAS, 85 Hoegiro, Dongdaemun-gu, Seoul, 130-722, Korea
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Abstract: | We study log canonical thresholds on quartic threefolds, quintic fourfolds, and double spaces. As an important application, we show that they have Kähler–Einstein metrics if they are general. |
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