Tilting bundles on toric Fano fourfolds

被引：7
|
作者：
Prabhu-Naik, Nathan [1 ]
机构：
[1] Univ Bath, Dept Math Sci, Claverton Down, Bath BA2 7AY, Somerset, England
来源：
JOURNAL OF ALGEBRA | 2017年 / 471卷
基金：
英国工程与自然科学研究理事会;
关键词：
Tilting theory; Toric geometry; Quiver algebra; Derived category; QUIVER REPRESENTATIONS; LINE BUNDLES; VARIETIES; ALGEBRAS; MODULI; CLASSIFICATION; SHEAVES;
D O I：
10.1016/j.jalgebra.2016.09.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper constructs tilting bundles obtained from full strong exceptional collections of line bundles on all smooth 4-dimensional toric Fano varieties. The tilting bundles lead to a large class of explicit Calabi-Yau-5 algebras, obtained as the corresponding rolled-up helix algebra. A database of the full strong exceptional collections can be found in the package QuiversToricVarieties for the computer algebra system Macaulay2. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：348 / 398
页数：51
相关论文
共 50 条
  • [1] EINSTEIN-KAHLER TORIC FANO FOURFOLDS
    NAKAGAWA, Y
    [J]. TOHOKU MATHEMATICAL JOURNAL, 1993, 45 (02) : 297 - 310
  • [2] Doubling Construction of Calabi–Yau Fourfolds from Toric Fano Fourfolds
    Doi M.
    Yotsutani N.
    [J]. Communications in Mathematics and Statistics, 2015, 3 (3) : 423 - 447
  • [3] CLASSIFICATION OF EINSTEIN-KAHLER TORIC FANO FOURFOLDS
    NAKAGAWA, Y
    [J]. TOHOKU MATHEMATICAL JOURNAL, 1994, 46 (01) : 125 - 133
  • [4] Amplified endomorphisms of Fano fourfolds
    Jia Jia
    Guolei Zhong
    [J]. manuscripta mathematica, 2023, 172 : 567 - 598
  • [5] Examples of cylindrical Fano fourfolds
    Prokhorov, Yuri
    Zaidenberg, Mikhail
    [J]. EUROPEAN JOURNAL OF MATHEMATICS, 2016, 2 (01) : 262 - 282
  • [6] Amplified endomorphisms of fano fourfolds
    Jia, Jia
    Zhong, Guolei
    [J]. MANUSCRIPTA MATHEMATICA, 2023, 172 (1-2) : 567 - 598
  • [7] ON CYLINDRICAL SMOOTH RATIONAL FANO FOURFOLDS
    Nguyen Thi Anh Hang
    Hoff, Michael
    Hoang Le Truong
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (01) : 87 - 103
  • [8] Ulrich bundles on cubic fourfolds
    Faenzi, Daniele
    Kim, Yeongrak
    [J]. COMMENTARII MATHEMATICI HELVETICI, 2022, 97 (04) : 691 - 728
  • [9] On a Generalization of the Mukai Conjecture for Fano Fourfolds
    Fujita, Kento
    [J]. TOKYO JOURNAL OF MATHEMATICS, 2014, 37 (02) : 319 - 333
  • [10] New examples of cylindrical Fano fourfolds
    Prokhorov, Yuri
    Zaidenberg, Mikhail
    [J]. ALGEBRAIC VARIETIES AND AUTOMORPHISM GROUPS, 2017, 75 : 443 - 463
12345