Geometric realizations of quiver algebras

Geometric realizations of quiver algebras
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箭袋代数的几何实现

DOI:
10.1134/s0081543815060073
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发表时间:
2015
影响因子:
0.5
通讯作者:
Dmitri Orlov
Dmitri Orlov
中科院分区:
数学4区
文献类型:
--
作者:
Dmitri Orlov

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我们构造了具有规定自同态代数的光滑射影变异上向量束的强例外集合。我们证明了施工问题总是有解决方案的。我们考虑了在非交换投影平面和与三点伊辛函数相连的颤振上的一些应用。
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.