43 citations · 82 across the 12 of their papers we have counts for
16 papers
Unfocused notes on the Markoff equation and T-Singularities
Markus Perling
We consider minimal resolutions of the singularities for weighted projective planes of type , where satisfy the Markoff equation $ e^2 + f^2 +…
Vector bundles on proper toric 3-folds and certain other schemes
Markus Perling, Stefan Schroeer
We show that a proper algebraic n-dimensional scheme Y admits nontrivial vector bundles of rank n, even if Y is non-projective, provided that there is a modification containing a p…
Combinatorial aspects of exceptional sequences on (rational) surfaces
Markus Perling
We investigate combinatorial aspects of exceptional sequences in the derived category of coherent sheaves on certain smooth and complete algebraic surfaces. We show that to any suc…
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,…
A lifting functor for toric sheaves
Markus Perling
For a variety X which admits a Cox ring we introduce a functor from the category of quasi-coherent sheaves on to the category of graded modules over the homogeneous coordinate…
Resolutions and Cohomologies of Toric Sheaves. The affine case
Markus Perling
We study equivariant resolutions and local cohomologies of toric sheaves for affine toric varieties, where our focus is on the construction of new examples of decomposable maximal…