Algebraic geometry

The proceedings from the Abel Symposium on Geometry of Moduli, held at Svinoya Rorbuer, Svolvaer in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry.

This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.

This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry.

Oscar Zariski's work in mathematics permanently altered the foundations of algebraic geometry.

Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important field, and also for established researchers, who will find references, problems, original expositions, new viewpoints, etc.

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups).

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.

Pseudo-convexite , convexite polynomiale et domaines d holomorphie en dimension infinie

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

Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.

This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors.

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

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects.

The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf.

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.

In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by the use of fully interactive three-dimensional graphics throughout the text.

Lectures: A.

This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021.

The theory of algebraic stacks emerged in the late sixties and early seventies in the works of P.

The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays.

A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.

This textbook covers classical geometrical methods and modern analytical methods in kinematic synthesis of mechanisms.

This textbook offers an introduction to abelian varieties, a rich topic of central importance to algebraic geometry.

This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work.

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Saks Spaces and Applications to Functional Analysis

This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields.

Riemannian Topology and Geometric Structures on Manifolds results from a similarly entitled conference held at the University of New Mexico in Albuquerque.

Formal development of the mathematical theory of quantum information with clear proofs and exercises.

The present volume contains, together with numerous addition and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the Centro Internazionale Mate- matico Estivo .

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016.

Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic.

This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development.

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion.

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

The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry.

This book covers terahertz antenna technology for imaging and sensing, along with its various applications.

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.