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.
引用
收藏
页码：706 / 726
页数：21
相关论文
共 50 条
  • [1] Noncommutative conics in Calabi-Yau quantum projective planes
    Hu, Haigang
    Matsuno, Masaki
    Mori, Izuru
    JOURNAL OF ALGEBRA, 2023, 620 : 194 - 224
  • [2] Non-commutative projective Calabi-Yau schemes
    Kanazawa, Atsushi
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (07) : 2771 - 2780
  • [3] On noncommutative Calabi-Yau hypersurfaces
    Belhaj, A
    Saidi, EH
    PHYSICS LETTERS B, 2001, 523 (1-2) : 191 - 198
  • [4] Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras
    Berest, Yuri
    Chen, Xiaojun
    Eshmatov, Farkhod
    Ramadoss, Ajay
    MATHEMATICAL ASPECTS OF QUANTIZATION, 2012, 583 : 219 - +
  • [5] Calabi-Yau and fractional Calabi-Yau categories
    Kuznetsov, Alexander
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2019, 753 : 239 - 267
  • [6] Calabi-Yau Fourfolds in Products of Projective Space
    Gray, James
    Haupt, Alexander
    Lukas, Andre
    STRING-MATH 2013, 2014, 88 : 281 - 290
  • [7] Calabi-Yau algebras and the shifted noncommutative symplectic structure
    Chen, Xiaojun
    Eshmatov, Farkhod
    ADVANCES IN MATHEMATICS, 2020, 367
  • [8] Noncommutative del Pezzo surfaces and Calabi-Yau algebras
    Etingof, Pavel
    Ginzburg, Victor
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2010, 12 (06) : 1371 - 1416
  • [9] Noncommutative Resolutions of ADE Fibered Calabi-Yau Threefolds
    Velez, Alexander Quintero
    Boer, Alex
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 297 (03) : 597 - 619
  • [10] Noncommutative Resolutions of ADE Fibered Calabi-Yau Threefolds
    Alexander Quintero Vélez
    Alex Boer
    Communications in Mathematical Physics, 2010, 297 : 597 - 619
12345