A polar dual to the momentum of toric Fano manifolds-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

A polar dual to the momentum of toric Fano manifolds

Published:2021-01-01 Issue:1 Volume:8 Page:230-246
ISSN:2300-7443
Container-title:Complex Manifolds
language:en
Short-container-title:

Author:

Sano Yuji¹

Affiliation:

1. Department of Applied Mathematics, Faculty of Sciences , Fukuoka University , 8-19-1 Nanakuma, Jonan-ku Fukuoka 814-0180 , Japan

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/coma-2020-0116/pdf

Reference16 articles.

1. [1] V.V. Batyrev and E.N. Selivanova, “Einstein-Kähler metrics on symmetric toric Fano manifolds” J. Reine Angew. Math. 512 (1999)225–236.

2. [2] M. Beck and S. Robins, “Computing the Continuous Discretely”, UTM, Springer-Verlag, New York, 2007.

3. [3] M. Brion, “Points entiers dans les polyèdres convexes”, Ann. Sci. École Norm. Sup. 21 (1988), no.4, 653–663.

4. [4] C. Casagrande, “The number of vertices of a Fano polytope”, Ann. Inst. Fourier (Grenoble) 56 (2006), no. 1, 121–130.

5. [5] A. Futaki, “An obstruction to the existence of Einstein Kähler metrics”, Invent. Math. 73, no. 3 (1983) 437–443.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP