Bilinear forms and extremal Kähler vector fields associated with Kähler classes.
Birational Properties of Moduli spaces of stable locally free rank-2 sheaves on algebraic surfaces.
Bogomolov instability of higher rank sheaves on surfaces in characteristic p.
Bounds for stable bundles and degrees of Weierstrass schemes.
Bubble tree compactification of moduli spaces of vector bundles on surfaces
We announce some results on compactifying moduli spaces of rank 2 vector bundles on surfaces by spaces of vector bundles on trees of surfaces. This is thought as an algebraic counterpart of the so-called bubbling of vector bundles and connections in differential geometry. The new moduli spaces are algebraic spaces arising as quotients by group actions according to a result of Kollár. As an example, the compactification of the space of stable rank 2 vector bundles with Chern classes c 1 = 0, c 1...