GEOMETRICAL DESCRIPTION OF SMOOTH PROJECTIVE SYMMETRIC VARIETIES WITH PICARD NUMBER ONE

被引：11

作者：

Ruzzi, Alessandro ^{[1
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Matemat Guido Castelnuovo, I-00185 Rome, Italy

来源：

TRANSFORMATION GROUPS | 2010年 / 15卷 / 01期

关键词：

Symmetric varieties; Fano varieties; RING;

D O I：

10.1007/s00031-010-9074-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [R2] we have classified the smooth projective symmetric G-varieties with Picard number one (and G semisimple). In this paper we give a geometrical description of such varieties. In particular, we determine their automorphism group. When this group acts nontransitively on X, we describe a G-equivariant embedding of the variety X in a homogeneous variety (with respect to a larger group). We show that these varieties are all related to the exceptional groups.

引用

页码：201 / 226

页数：26

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