Algebraic geometry

As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics.

This volume presents a panorama of the diverse activities organized by V.

Field Arithmetic explores Diophantine fields through their absolute Galois groups.

This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics.

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 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.

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields.

The goal of Geometric Algebra Applications Vol.

The first modern, comprehensive introduction to central simple algebras for graduate students and researchers.

This book's area is special functions of one or several complex variables.

This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications.

Conjunto de conocimientos matemáticos que pueden aplicarse en arquitectura, tanto durante la carrera como en el ejercicio de esa profesión.

Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings.

Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease.

Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results.

This book is a new edition of "e;Tensors and Manifolds: With Applications to Mechanics and Relativity"e; which was published in 1992.

The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections.

This book provides a rigorous and self-contained review of desingularization theory.

A NATO Advanced Study Institute entitled "e;Algebraic K-theory and Algebraic Topology"e; was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December 12 to December 16 of 1991.

This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry.

The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian.

to introduce these techniques and additional background is provided in appendices.

This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes.

This monograph presents a new model of mathematical structures called weak n-categories.

This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990.

This book delves into the p-adic Simpson correspondence, its construction, and development.

Resolution of singularities is notorious as a difficult topic within algebraic geometry.

The second volume of Shafarevich's introductory book on algebraic varieties and complex manifolds.

This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg.

Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures.

What is spectral action, how to compute it and what are the known examples?

This book is a tribute to the memory of Yuri Ivanovich Manin, who passed away on January 7, 2023.

This book is a significant contribution within and across High Energy Physics and Algebraic Combinatorics.

This text presents a graduate-level introduction to differential geometry for mathematics and physics students.

This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry.

This text started out as a revised version of Buildings by the second-named author [53], but it has grown into a much more voluminous book.

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.

This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra.

This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the "e;Higher homotopical structures"e; programme.

Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei!

Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint.