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.

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.

Contains Grothendieck''s previously unpublished manuscript ''Esquisse d''un Programme'' and related papers.

This book contains papers given at the International Singularity Conference held in 1991 at Lille.

An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.

A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.

This book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.

This book, which grew out of Steven Bleiler''s lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as an introduction to the applications of hyperbolic geometry to low dimensional topology.

This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis.

Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.

This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.

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

This book gives a complete proof of the Verlinde formula and of its connection to generalized theta functions.

Bringing together two fundamental texts from Frederic Pham's research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach.

This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors.

Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration.

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This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics.