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The Geometry of Moduli Spaces of Sheaves
This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
Algebraic Geometry
"Surveys and applies fundamental ideas and techniques in the theory of curves, surfaces, and threefolds to a wide variety of subjects. Furnishes all of the basic definitions necessary for understanding and provides interrelated articles that support and refer to one another."
Stable Groups
In this book the general theory of stable groups is developed from the beginning.
The James Forest
Everything that you ever wanted to know about pathological Banach spaces.
Model Theory of Groups and Automorphism Groups
Surveys recent interactions between model theory and other branches of mathematics, notably group theory.
Representation Theory and Algebraic Geometry
For any researcher working in representation theory, algebraic or arithmetic geometry.
Geometric Galois Actions: Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups
This book surveys progress in the domains described in the hitherto unpublished manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck. It will be of wide interest amongst workers in algebraic geometry, number theory, algebra and topology.
Finite Von Neumann Algebras and Masas
The first book devoted to the general theory of finite von Neumann algebras.
Applications of Algebraic Geometry to Coding Theory, Physics and Computation
An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.
