Algebraic Geometry

Categorifies a tensor product of two Weyl modules for quantum sl2 at a prime root of unity.

Categorifies tensor products of the fundamental representation of quantum sl2 at prime roots of unity, building upon earlier work where a tensor pr...

We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite situations which are in ...

Hodge theoryone of the pillars of modern algebraic geometryis a deep theory with many applications and open problems, the most enigmatic of which i...

This volume contains the proceedings of the virtual AMS Special Session on Geometric and Algebraic Aspects of Quantum Groups and Related Topics, he...

Let p be a prime. In this paper we investigate finite K{2,p}-groups G which have a subgroup H ? G such that K ? H = NG(K) ? Aut(K) for K a simple g...

In this two part work we prove that for every finitely generated subgroup ? < Out(Fn), either ? is virtually abelian or H2 b (?; R) contains a v...

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this boo...

This monograph deals with the Hadamard products of algebraic varieties. A typical subject of study in Algebraic Geometry are varieties constructed ...

This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in hig...

This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning t...

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

In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by th...

In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by th...

This book is the tenth in a series of volumes whose aim is to provide a complete proof of the classification theorem for the finite simple groups b...

We extend the classical duality results of Poitou and Tate for finite discrete Galois modules over local and global fields (local duality, nine-ter...

Various coordinate rings of varieties appearing in the theory of Poisson Lie groups and Poisson homogeneous spaces belong to the large, axiomatical...

Resolution of Singularities has long been considered as being a difficult to access area of mathematics. The more systematic and simpler proofs tha...

In this paper the authors apply to the zeros of families of $L$-functions with orthogonal or symplectic symmetry the method that Conrey and Snaith ...

The Cuntz semigroup of a $C^*$-algebra is an important invariant in the structure and classification theory of $C^*$-algebras. It captures more inf...

This volume contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geomet...

The book provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the even case, where the ma...

The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental gro...

This book collects some surveys on current trends in discrete mathematics and discrete geometry. The areas covered include:  graph representations,...

The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental gro...

There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over th...

A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the beha...

This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. T...

Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric properties are well descri...

One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early...

This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and com...

This book develops the machinery of homological algebra and its applications to commutative rings and modules. It assumes familiarity with basic co...

This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and com...

This book develops the machinery of homological algebra and its applications to commutative rings and modules. It assumes familiarity with basic co...

Since the publication of this books bestselling predecessor, Mathematica® has matured considerably and the computing power of desktop computers has...

Spin/Pin-structures on vector bundles have long featured prominently in differential geometry, in particular providing part of the foundation for t...

This is a college algebra-level textbook written to provide the kind of mathematical knowledge and experiences that students will need for courses ...

In algebraic geometry and theoretical physics, mirror symmetry refers to the relationship between two CalabiYau manifolds which appear very differe...

This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. T...

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