Mathematisches Institut

Georg-August-Universität Göttingen

Letzte Änderung: 25.03.10     Verantwortlicher: Christian Boehning

Homepage von Christian Böhning

Ich arbeite nunmehr an der Universität Hamburg und meine neue Homepage findet sich hier

Privatadresse:

Funktion im Institut
Wissenschaftlicher Assistent

Kubische Fläche von Clebsch mit 27 Geraden    (mehr)

Meine Forschungsgebiete / Research areas

• Algebraic Geometry, Invariant Theory/Representation Theory, Homological Algebra
  
  Research Statement (in English)
  
  

Lehre/Teaching

Veröffentlichungen / Publications & Preprints

• L. Szpiro's conjecture on Gorenstein algebras in codimension 2, Journal of Algebra 288 (2005),
    no. 2, p. 545-555
• Canonical surfaces in P^4 and Gorenstein algebras in codimension 2, Oberwolfach Reports, vol.1, no.1,
    report no. 9/2004 (2004), p. 443-445; summary of talk given at the Mini-Workshop: "Classification of
    Surfaces of General Type with Small Invariants"  
• Derived categories of coherent sheaves on rational homogeneous manifolds,  Doc. Math. 11 (2006), 261-331 
• Canonical surfaces in P^4 with p_g=p_a=5 and K^2=11,  Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18 (2007), no. 1, 39--57
• Gorenstein algebras in codimension 2 and Koszul modules, Communications in Algebra, Volume 36, Issue 6 June 2008 , pages 2014 - 2022
• The rationality of the moduli space of curves of genus 3 after P. Katsylo.  (to appear in "Cohomological and Geometric Approaches to Rationality Problems", eds. F. Bogomolov and Y. Tschinkel, Birkhäuser Boston, expected publishing date November 2009 http://www.math.nyu.edu/~tschinke/books/rationality/rationality-index.html) arXiv:0804.1509
  
• Rationality of  moduli spaces of plane curves of small degree. (with H.-Chr. Graf von Bothmer & Jakob Kröker) Experiment. Math. 18 (2009), no. 4, 499--508, preprint arXiv:0904.0890v1
  
• Rationality of the moduli spaces of plane curves of sufficiently large degree. (with H.-Chr. Graf von Bothmer) Invent. Math. 179 (2010), no. 1, available via open access DOI 10.1007/s00222-009-0214-6 , preprint available at arXiv:0804.1503
  
• A Clebsch Gordan formula for SL_3 and applications to rationality (with H.-Chr. Graf von Bothmer), Advances in Mathematics 224 (2010) 246-259, preprint arXiv:0812.3278v1
  

• Rationality of Quotients by Linear Actions of Affine Groups. (with F. Bogomolov, H.-Chr. Graf von Bothmer, in preparation)
• On the rationality of the moduli space of Lueroth quartics.(with H.-Chr. Graf von Bothmer) arXiv:1003.4635v1
  
• The Rationality Problem in Invariant Theory .(submitted, part of monograph in preparation) arXiv:0904.0899v1
  
• Moduli of vector bundles and the hidden smoothness philosophy, survey article from a talk given in the context of the Homotopical Algebraic Geometry seminar in Göttingen, WS 2005/2006