Bounding Cohomology Groups of Vector Bundles on IPn.
Bounds for Chern classes of semistable vector bundles on complex projective spaces
This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on and a generalization of the presented method to r-bundles on is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.
Bounds for stable bundles and degrees of Weierstrass schemes.
Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface
Brauer groups of abelian schemes
Bridgeland-stable moduli spaces for -trivial surfaces
We give a one-parameter family of Bridgeland stability conditions on the derived category of a smooth projective complex surface and describe “wall-crossing behavior” for objects with the same invariants as when generates Pic and . If, in addition, is a or Abelian surface, we use this description to construct a sequence of fine moduli spaces of Bridgeland-stable objects via Mukai flops and generalized elementary modifications of the universal coherent sheaf. We also discover a natural...
Brill-Noether theory for non-special linear systems
Brown-Peterson spectra in stable -homotopy theory