Constructing Q-Fano 3-folds a la Prokhorov & Reid

被引：3

作者：

Ducat, Tom ^{[1
,2
,3
]}

机构：

[1] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan

[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

[3] Heilbronn Inst Math Res, Bristol BS8 1TW, Avon, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2018年 / 50卷 / 03期

关键词：

D O I：

10.1112/blms.12150

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalise a construction by Prokhorov & Reid of two families of Q-Fano 3-folds of index 2 to obtain five more families of Q-Fano 3-folds; four of index 2 and one of index 3. Two of the families constructed have the same Hilbert series and we study these cases in more detail.

引用

页码：420 / 434

页数：15

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