3 papers
math.AG2005
Derived categories of coherent sheaves on rational homogeneous manifolds
Christian Böhning
Starting point of the present work is a conjecture of F. Catanese which says that in the derived category of coherent sheaves on any rational homogeneous manifold G/P there should…
math.AC2004
L. Szpiro's conjecture on Gorenstein algebras in codimension 2
Christian Böhning
A Gorenstein A-algebra R of codimension 2 is a perfect finite A-algebra such that R=Ext^2(R,A) holds as R-modules, A being a Cohen-Macaulay local ring with dim(A)-dim_A(R)=2. I pro…
math.AG2004
Canonical surfaces in P^4 and Gorenstein algebras in codimension 2
Christian Böhning
In this paper I investigate minimal surfaces of general type with p_g=5, q=0 for which the 1-canonical map is a birational morphism onto a surface in P^4 (so called canonical surfa…