Rationality of Fano threefolds with terminal Gorenstein singularities, II

被引：0

|

作者：

Prokhorov, Yuri ^{[1
,2
,3
]}

机构：

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

[2] Moscow MV Lomonosov State Univ, Fac Math, Moscow, Russia

[3] HSE Univ, AG Lab, Moscow, Russia

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 03期

关键词：

Fano variety; Terminal singularity; Rationality; Birational map; Mori contraction; PRYM VARIETIES;

D O I：

10.1007/s12215-022-00773-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify nonrational Fano threefolds X with terminal Gorenstein singularities such that rk Pic(X) = 1, (-K-X)(3) >= 8, and rk Cl(X) <= 2.

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收藏

页码：1797 / 1821

页数：25

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