Geometric invariant theory and Einstein-Weyl geometry

被引：3

作者：

Kalafat, Mustafa ^{[1
,2
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

来源：

EXPOSITIONES MATHEMATICAE | 2011年 / 29卷 / 02期

关键词：

Toric varieties; Geometric invariant theory; Einstein-Weyl geometry; Minitwistor space; SELF-DUAL METRICS;

D O I：

10.1016/j.exmath.2011.01.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we give a survey of geometric invariant theory for Toric Varieties, and present an application to the Einstein-Weyl geometry. We compute the image of the Minitwistor space of the Honda metrics as a categorical quotient according to the most efficient linearization. The result is the complex weighted projective space CP(1,1,2). We also find and classify all possible quotients. (C) 2011 Published by Elsevier GmbH.

引用

页码：220 / 230

页数：11

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