43 citations · 97 across the 17 of their papers we have counts for
9 papers · 1 filter
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…
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 Bundles on Rational Surfaces and Quasi-Hereditary Algebras
Lutz Hille, Markus Perling
Let be any rational surface. We construct a tilting bundle on . Moreover, we can choose in such way that its endomorphism algebra is quasi-hereditary. In particular,…
Hochschild (Co-)Homology of Schemes with Tilting Object
Ragnar-Olaf Buchweitz, Lutz Hille
Given a --scheme that admits a tilting object , we prove that the Hochschild (co-)homology of is isomorphic to that of . We treat more generally the re…
Examples for exceptional sequences of invertible sheaves on rational surfaces
Markus Perling
In this article we survey recent results of joint work with Lutz Hille on exceptional sequences of invertible sheaves on rational surfaces and give examples.