English

Geometric realizations of quiver algebras

Algebraic Geometry 2015-11-19 v1 High Energy Physics - Theory Category Theory

Abstract

In this paper we construct strong exceptional collections of vector bundles on smooth projective varieties that have a prescribed endomorphism algebra. We prove the construction problem always have a solution. We consider some applications to noncommutative projective planes and to the quiver connected with the 3-point Ising function.

Keywords

Cite

@article{arxiv.1503.03174,
  title  = {Geometric realizations of quiver algebras},
  author = {Dmitri Orlov},
  journal= {arXiv preprint arXiv:1503.03174},
  year   = {2015}
}

Comments

17 pages, Dedicated to the blessed memory of my late adviser Andrei Nikolaevich Tyurin on the occasion of his 75th birthday