Geometric realizations of quiver algebras

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.

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

References in corpus (1)

• A simple counterexample to the Jordan-Hölder property for derived categories

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