A polar dual to the momentum of toric Fano manifolds

We introduce an invariant on the Fano polytope of a toric Fano manifold as a polar dual counterpart to the momentum of its polar dual polytope. Moreover, we prove that if the momentum of the polar dual polytope is equal to zero, then the dual invariant on a Fano polytope vanishes.

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Autor principal:	Sano Yuji
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	kähler-einstein metrics toric fano manifolds futaki invariant fano polytopes 14m25 14j45 32q20 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/80d5fe69f24a461db9ddfec531b47970
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id	oai:doaj.org-article:80d5fe69f24a461db9ddfec531b47970
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spelling	oai:doaj.org-article:80d5fe69f24a461db9ddfec531b479702021-12-05T14:10:45ZA polar dual to the momentum of toric Fano manifolds2300-744310.1515/coma-2020-0116https://doaj.org/article/80d5fe69f24a461db9ddfec531b479702021-07-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0116https://doaj.org/toc/2300-7443We introduce an invariant on the Fano polytope of a toric Fano manifold as a polar dual counterpart to the momentum of its polar dual polytope. Moreover, we prove that if the momentum of the polar dual polytope is equal to zero, then the dual invariant on a Fano polytope vanishes.Sano YujiDe Gruyterarticlekähler-einstein metricstoric fano manifoldsfutaki invariantfano polytopes14m2514j4532q20MathematicsQA1-939ENComplex Manifolds, Vol 8, Iss 1, Pp 230-246 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	kähler-einstein metrics toric fano manifolds futaki invariant fano polytopes 14m25 14j45 32q20 Mathematics QA1-939
spellingShingle	kähler-einstein metrics toric fano manifolds futaki invariant fano polytopes 14m25 14j45 32q20 Mathematics QA1-939 Sano Yuji A polar dual to the momentum of toric Fano manifolds
description	We introduce an invariant on the Fano polytope of a toric Fano manifold as a polar dual counterpart to the momentum of its polar dual polytope. Moreover, we prove that if the momentum of the polar dual polytope is equal to zero, then the dual invariant on a Fano polytope vanishes.
format	article
author	Sano Yuji
author_facet	Sano Yuji
author_sort	Sano Yuji
title	A polar dual to the momentum of toric Fano manifolds
title_short	A polar dual to the momentum of toric Fano manifolds
title_full	A polar dual to the momentum of toric Fano manifolds
title_fullStr	A polar dual to the momentum of toric Fano manifolds
title_full_unstemmed	A polar dual to the momentum of toric Fano manifolds
title_sort	polar dual to the momentum of toric fano manifolds
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/80d5fe69f24a461db9ddfec531b47970
work_keys_str_mv	AT sanoyuji apolardualtothemomentumoftoricfanomanifolds AT sanoyuji polardualtothemomentumoftoricfanomanifolds
_version_	1718371764875034624

A polar dual to the momentum of toric Fano manifolds

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