Both brane tilings and exceptional collections are useful tools for describing the low energy
gauge theory on a stack of D3-branes probing a Calabi-Yau singularity. We provide a …

In this article we consider exceptional sequences of invertible sheaves on smooth complete
rational surfaces. We show that to every such sequence one can associate a smooth …

A counterexample to King's conjecture Page 1 Compositio Math. 142 (2006) 1507–1521 doi:10.1112/S0010437X06002260
A counterexample to King’s conjecture Lutz Hille and Markus Perling Abstract King’s …

This paper proves that every projective toric variety is the fine moduli space for stable
representations of an appropriate bound quiver. To accomplish this, we study the quiver $ Q …

Given a scheme Y equipped with a collection of globally generated vector bundles E_1, ...,
E_n E 1,…, E n, we study the universal morphism from Y to a fine moduli space M (E) M (E) …

We study semistable sheaves of rank 2 with Chern classes c 1= 0, c 2= 2 and c 3= 0 on the
Fano 3-fold V 5 of Picard number 1, degree 5 and index 2. We show that the moduli space of …

In the setting of a variety X admitting a tilting bundle T we consider the problem of
constructing X as a quiver GIT quotient of the algebra A:= End _ X (T)^ op A:= End X (T) op …

We introduce a compact moduli scheme of marked noncommutative cubic surfaces as the
GIT moduli scheme of relations of a quiver associated with a full strong exceptional …

We consider the problem of comparing t-structures under the derived McKay
correspondence and for tilting equivalences. In low-dimensional cases, we relate the t …

For physicists: We show that the quiver gauge theory derived from a Calabi-Yau cone via an
exceptional collection of line bundles on the base has the original cone as a component of …