Configurations of - 2 Rational Curves on Sectional Surfaces of n-Folds.
Conformal Duality and Compact Complex Surfaces.
Degré de la variété duale d'une hypersurface à singularités isolées
E8 und die binäre Ikosaedergruppe.
Einfach-elliptische Singularitäten.
Families of quintic surfaces and curves
Geometric structures on the complement of a projective arrangement
Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (= finite union of hyperplanes) whose Levi-Civita connection is of Dunkl type. Interesting examples are obtained from the arrangements defined by finite complex reflection groups. We determine a parameter interval for which the metric is locally of Fubini-Study type, flat, or complex-hyperbolic. We find a finite subset of this interval for...
Good moduli spaces for Artin stacks
We develop the theory of associating moduli spaces with nice geometric properties to arbitrary Artin stacks generalizing Mumford’s geometric invariant theory and tame stacks.
Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type.
Holomorphic Automorphisms of Compact Kähler Surfaces and Their Induced Actions in Cohomology.
Holomorphic Projective Structures on Compact Complex Surfaces. II.
Homology Hopf surfaces
Hyperbolic geometry and moduli of real cubic surfaces
Let be the moduli space of smooth real cubic surfaces. We show that each of its components admits a real hyperbolic structure. More precisely, one can remove some lower-dimensional geodesic subspaces from a real hyperbolic space and form the quotient by an arithmetic group to obtain an orbifold isomorphic to a component of the moduli space. There are five components. For each we describe the corresponding lattices in . We also derive several new and several old results on the topology of ....
Instanton moduli as a novel map from tori to K3-surfaces.
Integral models for moduli spaces of -torsors
Given a finite tame group scheme , we construct compactifications of moduli spaces of -torsors on algebraic varieties, based on a higher-dimensional version of the theory of twisted stable maps to classifying stacks.
Invariance of Pluri-Genera of a Degenerating Family of Algebraic Surfaces.
Klassifikationstheorie algebraischer Varietäten der Dimension drei
L'application canonique pour les surfaces de type général.
Local Contributions to Global Deformations of Surfaces.
Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations.