Algebraic geometry

Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Seventeen articles from the most outstanding contemporary topics in algebraic geometry.

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

For any researcher working in representation theory, algebraic or arithmetic geometry.

This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds.

This volume honors Sir Peter Swinnerton-Dyer''s mathematical career spanning more than 60 years'' of amazing creativity in number theory and algebraic geometry.

An overview of different theories of motivic integration and their applications.

An overview of different theories of motivic integration and their applications.

Surveys and articles on recent developments in pure and applied singularity theory.

A comprehensive, self-contained treatment presenting general results of the theory.

This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory.

This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory.

A comprehensive, self-contained treatment presenting general results of the theory.

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

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

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

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

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

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

This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.

Introduction to Diophantine approximation and equations focusing on Schmidt''s subspace theorem, with applications to transcendence.

The first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory.

At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.

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

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

A self-contained exposition of local class field theory for students in advanced algebra.

A self-contained exposition of local class field theory for students in advanced algebra.

This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.

This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

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

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

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory.

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

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

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

This book explores determinantal ideals of square matrices from the perspective of commutative algebra, with a particular emphasis on linear matrices.

This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time.

Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

This detailed exposition makes classical algebraic geometry accessible to the modern mathematician.

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

An up-to-date survey of research in singularity theory.

This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.