[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ5 (1002ﾚｽ)

ガロア第一論文と乗数イデアル他関連資料スレ5 http://rio2016.5ch.net/test/read.cgi/math/1687778456/

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736: １３２人目の素数さん [] 2023/07/20(木) 05:48:39.91 ID:9Cgpu/bp 関連資料(その３) Inayama, Takahiro (Tokyo University of Science) L^2-extension indices, sharper estimates and curvature positivity We introduce an L^2-extension index, which is a function that gives the minumum constant with respect to the L^2-estimate of an Ohsawa-Takwgoshi-type extension at each point. By using this notion, we propose a new way to study the positivity of curvature. We prove that there is an equivalence between how sharp the L^2 extension is and how positive the curvature is. As applications, we use the L^2-extension index to study Pr'ekopa-type theorems and to study the positivity of a cerrtain direct image sheaf. We also provide new characterizations of pluriharmonicity and curvature flatness. http://rio2016.5ch.net/test/read.cgi/math/1687778456/736

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