Some examples of noncommutative projective Calabi-Yau schemes

被引：0
|
作者：
Mizuno, Yuki [1 ]
机构：
[1] Waseda Univ, Sch Sci & Engn, Dept Math, Ohkubo 3-4-1,Shinjuku, Tokyo 1698555, Japan
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2024年 / 67卷 / 03期
关键词：
Noncommutative algebraic geometry; Noncommutative projective schemes; Calabi-Yau varieties; DUALIZING COMPLEXES; ALGEBRAS; DUALITY;
D O I：
10.4153/S0008439524000110
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we construct some examples of noncommutative projective Calabi-Yau schemes by using noncommutative Segre products and quantum weighted hypersurfaces. We also compare our constructions with commutative Calabi-Yau varieties and examples constructed in Kanazawa (2015, Journal of Pure and Applied Algebra 219, 2771-2780). In particular, we show that some of our constructions are essentially new examples of noncommutative projective Calabi-Yau schemes.
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页码：706 / 726
页数：21
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