Geometry

The primary object of the lecture notes is to develop a treatment of association schemes analogous to that which has been so successful in the theory of finite groups.

The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces.

Recent years have seen dramatic progress in shape recognition algorithms applied to ever-growing image databases.

This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field.

This book is based on two series of lectures given at a summer school on algebraic combinatorics at the Sophus Lie Centre in Nordfjordeid, Norway, in June 2003, one by Peter Orlik on hyperplane arrangements, and the other one by Volkmar Welker on free resolutions.

Difference sets are of central interest in finite geometry and design theory.

Generalized Heisenberg groups, or H-type groups, introduced by A.

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics.

The book collects results about realization spaces of polytopes.

The main themes of this book are to establish the triple formula without any hypotheses on the genericity of the morphism, and to develop a theory of complete quadruple points, which is a first step towards proving the quadruple point formula under less restrictive hypotheses.

This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry.

This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay.

This volume is an introduction and a monograph about tight polyhedra.

Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality.

A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monomial mappings.

The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions.

Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure.

Around 1994 R.

Mumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra.

The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry.

The present book is devoted to a study of relative Prufer rings and Manis valuations, with an eye to application in real and p-adic geometry.

The book gathers the lectures given at the C.

In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming.

The conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of surfaces on the basis of a quaternionic-valued function theory.

This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions.

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug.

It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?

All the papers included in this volume are original research papers.

This monograph deals with recent questions of conformal geometry.

This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions.

Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph.

The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields.

New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems.

This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry.

The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces.

The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves.

Interfaces are geometrical objects modelling free or moving boundaries and arise in a wide range of phase change problems in physical and biological sciences, particularly in material technology and in dynamics of patterns.

One of the basic ideas in differential geometry is that the study of analytic properties of certain differential operators acting on sections of vector bundles yields geometric and topological properties of the underlying base manifold.

Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions.

A glorious period of Hungarian mathematics started in 1900 when Lipot Fejer discovered the summability of Fourier series.