On higher-dimensional del Pezzo varieties

被引：3

作者：

Kuznetsov, A. G. ^{[1
,2
]}

Prokhorov, Yu. G. ^{[1
,2
,3
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

[2] Natl Res Univ, Higher Sch Econ, Lab Algebra Geometry & Applicat, Moscow, Russia

[3] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2023年 / 87卷 / 03期

关键词：

Fano variety; del Pezzo variety; terminal singularity; SUBGROUPS; THEOREM;

D O I：

10.4213/im9385e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we introduce ADE classification of del Pezzo varieties, show that in type A the dimension of non-conical del Pezzo varieties is bounded by 12- d- r, where d is the degree and r is the rank of the class group, and classify maximal del Pezzo varieties.

引用

页码：488 / 561

页数：74

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