43 citations · 97 across the 17 of their papers we have counts for
21 papers
Extensions of toric line bundles
Klaus Altmann, Amelie Flatt, Lutz Hille
For any two nef line bundles F and G on a toric variety X represented by lattice polyhedra P respectively Q, we present the universal equivariant extension of G by F under use of t…
Exceptional sequences and spherical modules for the Auslander algebra of
Lutz Hille, David Ploog
We classify spherical modules and full exceptional sequences of modules over the Auslander algebra of . We categorify the left and right symmetric group actions on thes…
Algebras and varieties
Edward L. Green, Lutz Hille, Sibylle Schroll
In this paper we introduce new affine algebraic varieties whose points correspond to associative algebras. We show that the algebras within a variety share many important homologic…
Tilting chains of negative curves on rational surfaces
Lutz Hille, David Ploog
We introduce the notion of exact tilting objects, which are partial tilting objects inducing an equivalence between the abelian category generated by and the category of mo…
Quivers and moduli spaces of pointed curves of genus zero
Mark Blume, Lutz Hille
We construct moduli spaces of representations of quivers over arbitrary schemes and show how moduli spaces of pointed curves of genus zero like the Grothendieck-Knudsen moduli spac…
Tilting Modules over the Path Algebra of Type A, Polytopes, and Catalan Numbers
Lutz Hille
It is well known that the number of tilting modules over a path algebra of type A_n coincides with the Catalan number C(n). Moreover, the number of support tilting modules of type…