On the rationality of Fano-Enriques threefolds

被引：0

作者：

Sarikyan, Arman ^{[1
]}

机构：

[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland

来源：

ALGEBRAIC GEOMETRY | 2023年 / 10卷 / 06期

关键词：

Fano-Enriques threefolds; Fano varieties; rationality; pliability; DEL PEZZO SURFACES; BIRATIONAL PROPERTIES; VARIETIES; 3-FOLDS; PENCILS;

D O I：

10.14231/AG-2023-023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Fano-Enriques threefold is a 3-dimensional non-Gorenstein Fano variety of index 1 with at most canonical singularities. We study the birational geometry of Fano-Enriques threefolds with terminal cyclic quotient singularities. We investigate their rationality and also provide an example of a Fano-Enriques threefold whose pliability is 9, that is, a Fano-Enriques threefold birationally equivalent to exactly nine Mori fibre spaces in the Sarkisov category.

引用

页码：643 / 665

页数：23

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