Fourier-Mukai Transforms
In this paper we discuss some of the recent developments on derived equivalences in algebraic geometry.
math.AG↗
arXiv subjects
Lutz Hille
Publications and source records attributed to Lutz Hille.
A Vanishing Result for the Universal Bundle on a Toric Quiver Variety
Let Q be a finite quiver without oriented cycles. Denote by U --> M the fine moduli space of stable thin sincere representations of Q with respect to the canonical stability notion. We prove Ext^i(U,U) = 0 for all i >0 and compute the endomorphism algebra of the universal bundle U. Moreover, we obtain a necessary and sufficient condition for when this algebra is isomorphic to the path algebra kQ of the quiver Q. If so, then the bounded derived category of finitely generated right kQ-modules is embedded into that of coherent sheaves on M.
alg-geom↗