Gorenstein Formats, Canonical and Calabi-Yau Threefolds

被引：7
作者：
Brown, Gavin [1 ]
Kasprzyk, Alexander M. [2 ]
Zhu, Lei [3 ]
机构：
[1] Univ Warwick, Math Inst, Coventry, W Midlands, England
[2] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
[3] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China
来源：
EXPERIMENTAL MATHEMATICS | 2019年
基金：
英国工程与自然科学研究理事会;
关键词：
Gorenstein format; key variety; threefold; general type; Calabi-Yau; Fano; canonical orbifold; CONSTRUCTING PROJECTIVE VARIETIES; FANO; 3-FOLDS; MODULI SPACE; GENERAL TYPE; SURFACES; P(G)=4; K-2=8; TOM;
D O I：
10.1080/10586458.2019.1592036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Gorenstein formats present the equations of regular canonical, Calabi-Yau and Fano varieties embedded by subcanonical divisors. We present a new algorithm for the enumeration of these formats based on orbifold Riemann-Roch and knapsack packing-type algorithms. We apply this to extend the known lists of threefolds of general type beyond the well-known classes of complete intersections and also to find classes of Calabi-Yau threefolds with canonical singularities.
引用
收藏
页码：146 / 164
页数：19
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