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Fakultät für Mathematik
Privatdozent Dr. Markus Perling |
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| Adresse: |
Ruhr-Universität Bochum |
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Fakultät für Mathematik |
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Universitätsstrasse 150 |
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D-44780 Bochum |
| Email: |
Privatdozent Dr. Markus Perling |
| Büro: |
NA 2/35 |
| Telefon: |
+49/234/3225795 |
| Telefax: |
+49/234/3214025 |
| Sprechstunde: |
Mittwoch, 13 - 14 Uhr |
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und nach Vereinbarung |
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 | | Publications | | My PhD thesis: Resolutions and Moduli for
Equivariant Sheaves over Toric Varieties (gzipped
Postscript version)
Publications:
- Examples for exceptional sequences of invertible sheaves on rational surfaces (submitted, preprint)
- (with Lutz Hille) Exceptional sequences of invertible sheaves on rational surfaces (submitted,
preprint)
- (with Günther
Trautmann) Equivariant Primary Decomposition and Toric Sheaves
(submitted, preprint)
- Divisorial Cohomology Vanishing on Toric Varieties (submitted, preprint)
- (with
S. D. Kumar) Primary decomposition over rings graded by finitely
generated Abelian groups, J. Alg. 318, pp. 553-561, 2007
- (with Lutz
Hille) A Counterexample to King's Conjecture, Compositio 142(6),
pp. 1507-1521, 2006 (preprint available here)
- Toric Varieties as Spectra of Homogeneous Prime Ideals,
Geom. Dedicata 127, pp. 121-129, 2007(preprint available here)
- Graded Rings and Equivariant Sheaves on Toric Varieties, Math.
Nachr. 263-264, pp. 181-197, 2004 (preprint available here)
- Moduli
for Equivariant Vector Bundles of Rank Two on Smooth Toric Surfaces,
Math. Nachr. 265, pp. 87-99, 2004 (preprint available here)
- 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, abstract
+ various formats)
- On the Local Cohomology of Reflexive Modules of Rank One over
Normal Semigroup Rings (preprint, abstract + various
formats)
Software:
- TiltingSheaves
is a program for computing exceptional sequences on toric varieties
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