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 Research Report for 2012

Abteilung für Reine Mathematik

Prof. Dr. Stefan Kebekus

Eckerstraße 1
79104 Freiburg
Tel: +49 761 203-5536 Fax: +49 761 203-5541
Email stefan.kebekus@math.uni-freiburg.de
http://home.mathematik.uni-freiburg.de/kebekus/


Scientific Employees

  • Dr. Daniel Greb
  • Dipl.-Math. Patrick Graf
  • Dr. Alex Küronya, DFG
  • Dipl.-Math. Daniel Lohmann
  • M.Sc. Tiam-Sun Pang, Doktorand (m)
Entries in "Who is Who"

Main Research

  • Algebraische Geometrie

Scientific and Research Projects


  • DFG-Research Group 790 Classification of algebraic surfaces and compact complex manifolds.
    • Project Manager: Prof. Dr. Fabrizio Catanese (Bayreuth)
    • Start/End of project: 01.02.2007 until 27.05.2013
    • Project Details

Scientific publications

Journal Articles:
  • Bauer T, Bocci C, Cooper S, Di Rocco S, Dumnicki M, Harbourne B, Jabbusch K, Knutsen A, Küronya A, Miranda R, Roe J, Schenk H, Szemberg T, Teitler Z: Recent developments and open problems in linear series J Eur Math Soc 2012, 2012: 93-141.
  • Bauer T, Bocci C, Cooper S, Di Rocco S, Harbourne B, Jabbusch K, Knutsen A, Küronya A, Miranda R, Schenk H, Szemberg T, Teitler Z, , Schenk H, Szemberg T, Teitler Z: Recent developments and open problems in the theory of linear series European Mathematical Society 2012, 2012; 93 (140): 93-140.
  • Bauer T, Harbourne B, Küronya A, Knutsen A, Müller-Stach a, Roulleau X, Szemberg T: Negative curves on algebraics surfaces Duke Math J, 2012. (download: http://arxiv.org/abs/1109.1881) (in Druck)
  • Dumnicki M, Szemberg T, Tutaj-Gasinska H: Symbolic Powers of planar point configurations J. Pure Appl. Alg., 2012. : http://10.1016/j..paa.2012.09.026
  • Greb D, Lehn C, Rollenske S: Lagrangian fibrations on hyperkähler manifolds - on a question of Beauville Ann Sci Ecole Norm S, 2012.
  • Greb D, Miebach D: Invariant meromorphic functions on Stein spaces Ann I Fourier, 2012; 62 (5): 1983-2011. (download: http://arxiv.org/abs/1010.2935)
  • Greb D, Peternell T: Singular spaces with trivial canonical class Advanced Studies in Pure Mathematics, 2012. (download: http://arxiv.org/abs/1110.5250)
  • Höring A: Geometry of Brill-Noether loci on Prym varieties Mich Math J, 2012; 61: 785-806. (download: http://arxiv.org/abs/1103.1053)
  • Kebekus S: Pull-back morphisms for reflexive differential forms preprint, 2012. (download: http://arxiv.org/abs/1210.3255) (in Druck)
  • Kebekus S, Jörder C: Deformations along subsheaves, II EMS Publishing House, 2012. (download: http://arxiv.org/abs/0905.2749) (in Druck)
  • Küronya A: Positivity of restrictions on subvarieties and anishing of higher cohomology Ann Sci Ecole Norm S, 2012.
  • Küronya A, Lozovanu V, Maclean C: Convex bodies appearing as Okounov bodies of divisors Adv Math Commun 2012, 2012; 229: 2622-2639.
  • Küronya A, Maclean, C, Szemberg, T: Functions in Okounkov bodies coming from geometric valuations preprint Universität Freiburg, 2012. (download: http://arxiv.org/abs/1210.3523) (in Druck)
  • Szemberg T: Bounds on Seshadri constants on surfaces with Picard number 1. Comm. in Alg., 2012; 40: 2477-2484. (download: http://URL: workinggroup-papers/11Szemberg-Seshadri.pdf)
Book Chapters:
  • Kebekus S, Greb D, Peternell T: Singular spaces with trivial canonical class In: Minimal models and extremal rays -- proceedings of the conference in honour of Shigefumi Mori's 60th birthday Kinokuniya Publishing House, Tokyo, 2012. (in Druck)
Oral Presentations:
  • Kebekus S: Uniruledness criteria and applications 2012 (Simons Symposium in algebraischer Geometrie).
Festschriften:
  • Kaloghiros A, Küronya A, Lazic V: Finite generation and geography of models Proceedings of Mori's 60th birthday conference, 2012. (download: http://arxiv.org/abs/1202.1164)

Special Scientific Activities

Scientific Dissertations