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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,247 - 1,260 (14page)
- DOI
- 10.4134/BKMS.b200928
이용수
초록· 키워드
오류제보하기
We introduce the notion of barycentric transformation of Fano polytopes, from which we can assign a certain type to each Fano polytope. The type can be viewed as a measure of the extent to which the given Fano polytope is close to be K\"ahler-Einstein. In particular, we expect that every K\"ahler-Einstein Fano polytope is of type $B_\infty$. We verify this expectation for some low dimensional cases. We emphasize that for a Fano polytope $X$ of dimension $1$, $3$ or $5$, $X$ is K\"ahler-Einstein if and only if it is of type $B_\infty$.
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참고문헌 (16)
참고문헌 신청
V. V. Batyrev / 1999 / Einstein-Kähler metrics on symmetric toric Fano manifolds / Journal für die reine und angewandte Mathematik (Crelles Journal) 1999(512):225~236
Robert J. Berman / 2013 / Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties / Annales de la Faculté des sciences de Toulouse : Mathématiques 22(4):649~711
Kwokwai Chan / 2007 / Miyaoka-Yau-type inequalities for Kähler-Einstein manifolds / Communications in Analysis and Geometry 15(2):359~379
D. A. Cox / 2011 / Toric varieties / American Mathematical Society
Akito Futaki / 2011 / Hilbert series and obstructions to asymptotic semistability / Advances in Mathematics 226(1):254~284
Robert J. Berman / 2013 / Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties / Annales de la Faculté des sciences de Toulouse : Mathématiques 22(4):649~711
Kwokwai Chan / 2007 / Miyaoka-Yau-type inequalities for Kähler-Einstein manifolds / Communications in Analysis and Geometry 15(2):359~379
D. A. Cox / 2011 / Toric varieties / American Mathematical Society
Akito Futaki / 2011 / Hilbert series and obstructions to asymptotic semistability / Advances in Mathematics 226(1):254~284
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