Geometric realizations of quiver algebras

被引:18
作者
Orlov, Dmitri O. [1 ]
机构
[1] Russian Acad Sci, Dept Algebra Geometry, VA Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia
基金
俄罗斯科学基金会;
关键词
GENERATORS;
D O I
10.1134/S0081543815060073
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We construct strong exceptional collections of vector bundles on smooth projective varieties that have a prescribed endomorphism algebra. We prove that the construction problem always has a solution. We consider some applications to noncommutative projective planes and to the quiver connected with the three-point Ising function.
引用
收藏
页码:70 / 83
页数:14
相关论文
共 17 条
[1]  
[Anonymous], ARXIVALGGEOM9506012
[2]  
Artin M., 1990, The Grothendieck Festschrift, VI, P33
[3]   Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves [J].
Auroux, Denis ;
Katzarkov, Ludmil ;
Orlov, Dmitri .
INVENTIONES MATHEMATICAE, 2006, 166 (03) :537-582
[4]  
Bondal A, 2003, MOSC MATH J, V3, P1
[5]  
Bondal A., 1995, 9515 M PLANK I MATH
[6]   HOMOLOGICAL PROPERTIES OF ASSOCIATIVE ALGEBRAS - THE METHOD OF HELICES [J].
BONDAL, AI ;
POLISHCHUK, AE .
RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS, 1994, 42 (02) :219-260
[7]   ON CLASSIFICATION OF N = 2 SUPERSYMMETRIC THEORIES [J].
CECOTTI, S ;
VAFA, C .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 158 (03) :569-644
[8]  
Gabriel Peter, 1980, Representation Theory, VI, P1
[9]  
KELLER B, 1994, ANN SCI ECOLE NORM S, V27, P63
[10]  
Keller B., 2006, INT C MATH, P151