The adjunction mapping and hyperelliptic divisors on a surface.
The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero.
The Behaviour of the Plurigenera of Surfaces Under Algebraic Smooth Deformations.
The Betti numbers of the moduli space of stable sheaves of rank 2 on a ruled surface.
The existence of algebraic surfaces with preassigned Chern numbers.
The existence of elliptic fibre space structures on Calabi-Yau threefolds.
The Hilbert Modular Surface of a Real Quadratic Field.
The Kodaira dimension of certain moduli spaces of abelian surfaces
The KSBA compactification for the moduli space of degree two pairs
Inspired by the ideas of the minimal model program, Shepherd-Barron, Kollár, and Alexeev have constructed a geometric compactification for the moduli space of surfaces of log general type. In this paper, we discuss one of the simplest examples that fits into this framework: the case of pairs consisting of a degree two surface and an ample divisor . Specifically, we construct and describe explicitly a geometric compactification for the moduli of degree two pairs. This compactification...
The moduli and the global period mapping of surfaces with : a counterexample to the global Torelli problem
The Moduli of Weierstrass Fibriations Over P1 .
The Moduli spaces of Rank 2 Stable Vector Bundles over Veronesean surfaces.
The multiple conical surfaces.
The Nash problem of arcs and the rational double points
This paper deals with the Nash problem, which consists in comparing the number of families of arcs on a singular germ of surface with the number of essential components of the exceptional divisor in the minimal resolution of this singularity. We prove their equality in the case of the rational double points ().
The principal degenerations of abelian surfaces and their polarisations.
The rationality of some moduli spaces of plane curves
The rationality of the moduli space of Enriques surfaces
The stability of certain classes of uni-ruled varieties
The topology of a moduli space for linear dynamical systems.
Theta functions on the bounded symmetric domain of type ... and the period map of a 4-parameter family of K3 surfaces.