Algebraic Geometry

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particul...

The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and imp...

The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geom...

Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of it...

This volume contains the proceedings of the Amitsur Centennial Symposium, held from November 14, 2021, virtually and at the Israel Institute for Ad...

Dieses Buch gibt eine Einführung in die Algebraische Geometrie. Ziel ist es, die grundlegenden Begriffe und Techniken der algebraischen Geometrie d...

This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and line...

Over a p-adic local field F of characteristic zero, we develop a new type of harmonic analysis on an extended symplectic group G = Gm × Sp2n. It is...

Let V be a vertex operator algebra with a category C of (generalized) modules that has vertex tensor category structure, and thus braided tensor ca...

Suitable for advanced undergraduates, postgraduates and researchers, this self-contained textbook provides an introduction to the mathematics lying...

This book provides a comprehensive and user-friendly exploration of the tremendous recent developments that reveal the connections between real alg...

This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, held at Queen Mary University of Lo...

Federico Gaeta (19232007) was a Spanish algebraic geometer who was a student of Severi. He is considered to be one of the founders of linkage theor...

This book grew out of the Oberwolfach-SeminarHigherDimensionalAlgebraicGeo- tryorganizedbythetwoauthorsinOctober2008. Theaimoftheseminarwas tointro...

The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together s...

In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The ...

This book is intended as a comprehensive treatment of group-based cryptography accessible to both mathematicians and computer scientists, with emph...

Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same ...

This volume contains the proceedings of the LuCaNT (LMFDB, Computation, and Number Theory) conference held from July 10-14, 2023, at the Institute ...

A physicist explores the history of mathematics among the Babylonians and Egyptians, showing how their scribes in the era from 2000 to 1600 BCE use...

Mathematics is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in cont...

While Eugenio Calabi is best known for his contributions to the theory of Calabi-Yau manifolds, this Steele-Prize-winning geometers fundamental con...

This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of ...

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geom...

This book is about differentiation of functions. It is divided into two parts, which can be used as different textbooks, one for an advanced underg...

Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic $p$, and have been used...

This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad ra...

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This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimu...

This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian ...

The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible defini...

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology is concerned ...

This book is an introduction to the geometry of complex algebraic varieties. It is intended for students who have learned algebra, analysis, and to...

This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using gr...

The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. Building bridges betwee...

The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version of the sheave...

Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common founda...

There are many interactions between noncommutative algebra and representation theory on the one hand and classical algebraic geometry on the other,...

This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular empha...

Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics...

This book offers the beginning undergraduate student some of the vista of modern mathematics by developing and presenting the tools needed to gain ...

This text-based on the author's popular courses at Pomona College-provides a readable, student-friendly, and somewhat sophisticated introduction to...

This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. ...

This volume contains research and expository content based on a wide variety of topics within modern number theory and arithmetic geometry. Researc...

We show that the generation problem in Thompson's group F is decidable, i.e., there is an algorithm which decides if a finite set of elements of F ...