Algebraic geometry books

Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions...  Read More >>

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

This book summarizes recent inventions, provides guidelines and recommendations, and demonstrates many practical...  Read More >>

This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with...  Read More >>

This book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced...  Read More >>

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with...  Read More >>

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

This book gives an authoritative treatment of the Verlinde formula for the dimension of conformal blocks, including...  Read More >>

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 >>

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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 >>

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

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

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