Applications of the Kähler-Einstein-Calabi-Yau Metric to Moduli of K3 Surfaces.
Atiyah Classes and Closed Forms on Moduli Spaces of Sheaves
Automorphismen und Modularraum Galoisscher dreiblättriger Überlagerungen.
Basics on families of hyperelliptic curves
Big Schottky.
Birational moduli and nonabelian cohomology
Birational moduli and nonabelian cohomology, II
Birational Properties of Moduli spaces of stable locally free rank-2 sheaves on algebraic surfaces.
Bounds for the number of moduli for irregular varieties of general type.
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...
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...
Calcul du tenseur de Ricci d’une particulière plongée dans pour la métrique induite par la métrique canonique
Calculating cohomology groups of moduli spaces of curves via algebraic geometry
Canonical generators of the cohomology of moduli of parabolic bundles on curves.
Canonical surfaces with and
Chamber structures of algebraic surfaces with Kodaira dimension zero and moduli spaces of stable rank two bundles.
Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces.
Chern Classes of Rank 3 Stable Reflexive Sheaves.
Chow-Künneth decomposition for some moduli spaces.
Classification of Isolated Hypersurface Singularities by Their Moduli Algebras.