Algebraic geometry

This book is aimed at graduate students and researchers in physics and mathematics who seek to understand the basics of supersymmetry from a mathematical point of view.

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance.

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction.

The Hardy-Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists.

Introduction to Banach Spaces and their Geometry

Matched Asymptotic Expansions and Singular Perturbations

Since its very existence as a separate field within computerscience, computer graphics had to make extensive use ofnon-trivial mathematics, for example, projective geometry,solid modelling, and approximation theory.

The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics.

This volume presents a collection of research papers and survey articles by participants from two significant conferences on several complex variables (SCV) held at POSTECH in 2022.

This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that 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 on homology and cohomology theory is geared towards the beginning graduate student.

This meeting has been motivated by two events: the 85th birthday of Pierre Lelong, and the end of the third year of the European network "e;Complex analysis and analytic geometry"e; from the programme Human Capital and Mobility.

This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes).

The book is devoted to the study of the geometrical and topological structure of gauge theories.

This volume introduces some recent developments in Arithmetic Geometry over local fields.

This generalization of geometry is bound to have wide- spread repercussions for mathematics as well as physics.

In the first two chapters we review the theory developped by Cartan, Whitney and Tognoli.

This unique collection of new and classical problems provides full coverage of geometric inequalities.

This is the first book that focuses on practical algorithms for polynomial inequality proving and discovering.

Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject''s inventor.

This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises).

This book is the proceedings of the conference "e;Algebraic Geometry in East Asia"e; which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program.

Systems of polynomial equations arise throughout mathematics, science, and engineering.

This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties.

Approach your problems from the right end It isn't that they can't see the solution.

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory.

This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces.

After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela.

The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud.

The modern theory of singularities provides a unifying theme that runs through fields of mathematics as diverse as homological algebra and Hamiltonian systems.

Near-rings: The Theory and its Applications

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

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965.

Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction.

The present monograph further develops the study, via the techniques of combinatorial anabelian geometry, of the profinite fundamental groups of configuration spaces associated to hyperbolic curves over algebraically closed fields of characteristic zero.

Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

This volume contains the proceedings from the first Women in MathArt Research Collaboration Conference for Women, showcasing women mathematicians researching and curating creative pedagogies at the intersection of mathematics and the arts.

This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory.

This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces.

This book offers a non-standard introduction to quantum mechanics and quantum field theory, approaching these topics from algebraic and geometric perspectives.

An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision.

This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015.

Theta functions were studied extensively by Ramanujan.