Privatdozent Dr. Markus Perling

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Publications

Articles:
  • (with Lutz Hille) Tilting bundles on rational surfaces and quasi-hereditary algebras (submitted, preprint)
  • A lifting functor for toric sheaves (submitted, preprint)
  • Resolutions and Cohomologies of Toric Sheaves. The affine case (submitted, preprint)
  • (with Lutz Hille) Exceptional sequences of invertible sheaves on rational surfaces, Compos. Math. 147(4), pp. 1230-1280, 2011 (preprint)
  • Divisorial Cohomology Vanishing on Toric Varieties, Documenta Mathematica 16, pp. 209-251, 2011 (preprint)
  • Examples for exceptional sequences of invertible sheaves on rational surfaces, in Geometric Methods in Representation Theory II, Seminaire et Congres 25, pp. 369-389, 2010 (preprint)
  • (with Günther Trautmann) Equivariant Primary Decomposition and Toric Sheaves, Manuscripta Math. 132, pp. 103-143, 2010 (preprint)
  • (with S. D. Kumar) Primary decomposition over rings graded by finitely generated Abelian groups, J. Alg. 318, pp. 553-561, 2007
  • Toric Varieties as Spectra of Homogeneous Prime Ideals, Geom. Dedicata 127, pp. 121-129, 2007(preprint)
  • (with Lutz Hille) A Counterexample to King's Conjecture, Compositio 142(6), pp. 1507-1521, 2006 (preprint)
  • Moduli for Equivariant Vector Bundles of Rank Two on Smooth Toric Surfaces, Math. Nachr. 265, pp. 87-99, 2004 (preprint)
  • Graded Rings and Equivariant Sheaves on Toric Varieties, Math. Nachr. 263-264, pp. 181-197, 2004 (preprint)
  • Some Quivers Describing the Derived Category of the Toric del Pezzos (manuscript, pdf version)
  • Resolutions for Equivariant Sheaves over Toric Varieties (ICTP preprint IC/2004/59, preprint)
  • On the Local Cohomology of Reflexive Modules of Rank One over Normal Semigroup Rings (preprint)
  • Resolutions and Moduli for Equivariant Sheaves over Toric Varieties, PhD thesis 2003 (gzipped Postscript version)
Software:
  • TiltingSheaves is a program for computing exceptional sequences on toric varieties