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- Markus Perling, Thomas Peternell
- 2009

This work discusses combinatorial and arithmetic aspects of cohomology vanishing for divisorial sheaves on toric varieties. We obtain a refined variant of the Kawamata-Viehweg theorem which is slightly stronger. Moreover, we prove a new vanishing theorem related to divisors whose inverse is nef and has small Iitaka dimension. Finally, we give a new… (More)

- MARKUS PERLING
- 2009

The purpose of this note is to give a survey on the results of joint work with Lutz Hille [HP08] and to provide some explicit examples. The general problem addressed in [HP08] is to understand the derived category of coherent sheaves on an algebraic variety (for an introduction and overview on derived categories over algebraic varieties we refer to [Huy06];… (More)

- Markus Perling
- 2001

In this note we derive a formalism for describing equivariant sheaves over toric varieties. This formalism is a generalization of a correspondence due to Klyachko, which states that equivariant vector bundles on toric varieties are equivalent to certain sets of filtrations of vector spaces. We systematically construct the theory from the point of view of… (More)

- LUTZ HILLE, MARKUS PERLING
- 2008

King’s conjecture states that on every smooth complete toric variety X there exists a strongly exceptional collection which generates the bounded derived category of X and which consists of line bundles. We give a counterexample to this conjecture. This example is just the Hirzebruch surface F2 iteratively blown up three times, and we show by explicit… (More)

A knowledge-based process-planning system for generating workplans for idealized lathe CNC machines is discussed. It transforms CAD-like diagrams of rotational-symmetric workpieces into abstract NC programs. To simplify development and evolution , declarative representations are used for all processing stages and steps, including a qualitative simulation of… (More)

- M. PERLING
- 2008

We study global primary decompositions in the category of sheaves on a scheme which are equivariant under the action of an algebraic group. We show that equivariant primary decompositions exist if the group is connected. As main application we consider the case of toric sheaves over toric varieties. Comparing these decompositions with primary decompositions… (More)

- Markus Perling
- 2001

We give a complete classification of equivariant vector bundles of rank two over smooth complete toric surfaces and construct moduli spaces of such bundles. This note is a direct continuation of an earlier note where we developed a general description of equivariant sheaves on toric varieties. Here we give a first application of that description.

- Markus Perling
- 2004

In this work we construct global resolutions for general coherent equivariant sheaves over toric varieties. For this, we use the framework of sheaves over posets. We develop a notion of gluing of posets and of sheaves over posets, which we apply to construct global resolutions for equivariant sheaves. Our constructions give a natural correspondence between… (More)

- Markus Perling, James Joyce, Hans Georg Freiermuth, Mircea Mustat, Sascha Getmanenko
- 2000

A Prayer Again! Come, give, yield all your strength to me! From far a low word breathes on the breaking brain its cruel clam, submission's misery, Gentling her awe as to a soul predestined. Cease, silent love! My doom! Blind me with your dark nearness, O have mercy, beloved enemy of my will! I dare not withstand the cold touch that I dread. Draw from me… (More)

- David Loeffler, Jürgen Hausen, +5 authors Joseph Ross
- 2011

This paper studies Emerton’s Jacquet module functor for locally analytic representations of p-adic reductive groups, introduced in [Eme06a]. When P is a parabolic subgroup whose Levi factor M is not commutative, we show that passing to an isotypical subspace for the derived subgroup ofM gives rise to essentially admissible locally analytic representations… (More)