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.
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页码：488 / 561
页数：74
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