Algebraic geometry

Over the past 2O years classical Hodge theory has undergone several generalizations of great interest in algebraic geometry.

The study of hypersurface quadrilateral singularities can bereduced to the study of elliptic K3 surfaces with a singularfiber of type I * 0 (superscript *, subscript 0), andtherefore these notes consider, besides the topics of thetitle, such K3 surfaces too.

This book is about the smooth classification of a certainclass of algebraicsurfaces, namely regular ellipticsurfaces of geometric genus one, i.

Particles with fractional statistics interpolating betweenbosons and fermions have attracted considerable interestfrom mathematical physicists.

In the Teichmuller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years.

The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18,1991.

About ten years ago, V.

Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp.

It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms.

The Bayreuth meeting on "e;Complex Algebraic Varieties"e;focussed on the classification of algebraic varieties andtopics such as vector bundles, Hodge theory and hermitiandifferential geometry.

Differential algebraic groups were introduced by P.

This book concerns the question of how the solution of asystem of ODE's varies when the differential equationvaries.

This book is a general introduction to Higher AlgebraicK-groups of rings and algebraic varieties, which were firstdefined by Quillen at the beginning of the 70's.

A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July 1989 as part of a year-long symposium on Singularity Theory and its applications.

The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra.

These are notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp.

The central topics of this volume are enumerative geometry and intersection theory.

This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S.

The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups.

Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory.

This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J.

The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R.

The contributions making up this volume are expanded versions of the courses given at the C.

These notes present very recent results on compact Kahler-Einstein manifolds of positive scalar curvature.

This volume presents selected papers resulting from the meeting at Sundance on enumerative algebraic geometry.

This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.

The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur.