Algebraic geometry books

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials...  Read More >>

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This book provides an introduction to geometric invariant theory from a differential geometric viewpoint. It is...  Read More >>

Its main result, a theorem proved by the authors and Florian Pop in 2012, describes the absolute Galois group of...  Read More >>

The Hardy–Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine...  Read More >>

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated...  Read More >>

This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions...  Read More >>

This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity. Written...  Read More >>

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The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization....  Read More >>

Articles in this volume are based on talks given at the International Workshop on Hopf Algebras and Tensor Categories,...  Read More >>

Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic...  Read More >>

This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an...  Read More >>

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational...  Read More >>

This book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses...  Read More >>

An exploration of mathematical style through 99 different proofs of the same theoremThis book offers a multifaceted...  Read More >>

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

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Uses linear algebra as a vehicle to introduce students to the inner workings of mathematics. The structures and...  Read More >>

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