Geometry

This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The present monograph is motivated by two distinct aims.

From the reviews: "e;This book gives a thorough introduction to several theories that are fundamental to research on modular forms.

Neron models were invented by A.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The book gives an exposition of the standard model of elementary particles based on coordinate-free differential geometric foundations.

Dantzig's development of linear programming into one of the most applicable optimization techniques has spread interest in the algebra of linear inequalities, the geometry of polyhedra, the topology of convex sets, and the analysis of convex functions.

Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics.

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry.

Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination.

In this textbook the authors present first-year geometry roughly in the order in which it was discovered.

One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not; i.

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects.

Incidence geometry is a central part of modern mathematics that has an impressive tradition.

Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity.

This treatment of differential geometry and the mathematics required for general relativity makes the subject of this book accessible for the first time to anyone familiar with elementary calculus in one variable and with a knowledge of some vector algebra.

This textbook offers a thorough, modern introduction into commutative algebra.

The contemporary theoretical physics consists, by and large, of two independent parts.

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Einstein's equations stem from General Relativity.

Algebraic curves and surfaces are an old topic of geometric and algebraic investigation.

This monograph establishes a general context for the cohomological use of Hironaka's theorem on the resolution of singularities.

The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus.

The main goal of the CIME Summer School on "e;Algebraic Cycles and Hodge Theory"e; has been to gather the most active mathematicians in this area to make the point on the present state of the art.

The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564.

This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists.

Complex Finsler metrics appear naturally in complex analysis.

This book makes a systematic study of the relations between the etale cohomology of a scheme and the orderings of its residue fields.

The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics.

This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry.

The equivariant derived category of sheaves is introduced.

In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry.

This book is an introduction to main methods and principalresults in the theory of Co(remark: o is upperindex!

The 13 chapters of this book centre around the proof ofTheorem 1 of Faltings' paper "e;Diophantine approximation onabelian varieties"e;, Ann.

Analytic number theory and part of the spectral theory ofoperators (differential, pseudo-differential, elliptic,etc.

Emanating from the theory of C*-algebras and actions of tori theoren, the problems discussed here are outgrowths of random walk problems on lattices.

Grids are special families of tripotents in Jordan triple systems.

This volume contains three long lecture series by J.

This volume of expository papers is the outgrowth of a conference in combinatorics and invariant theory.

The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry.

The focal topic of the 14th International Conference on Differential Geometric Methods was that of mathematical problems in classical field theory and the emphasis of the resulting proceedings volume is on superfield theory and related topics, and classical and quantized fields.

It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction.