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#### Algebraic and Complex Geometry

Springer International Publishing 2014; US$ 139.00Several important aspects of moduli spaces and irreducible holomorphic symplectic manifolds were highlighted at the conference ?Algebraic and Complex Geometry? held September 2012 in Hannover, Germany. These two subjects of recent ongoing progress belong to the most spectacular developments in Algebraic and Complex Geometry. Irreducible symplectic... more...

#### Analytic Theory of Abelian Varieties

Cambridge University Press 1974; US$ 44.00This introduction presupposes little more than a basic course in complex variables. more...

#### Automorphic Forms

Springer London 2012; US$ 69.95This book provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point of view of adeles and representation theory. more...

#### Barsotti Symposium in Algebraic Geometry

Elsevier Science 2014; US$ 72.95Barsotti Symposium in Algebraic Geometry contains papers corresponding to the lectures given at the 1991 memorial meeting held in Abano Terme in honor of Iacopo Barsotti. This text reflects Barsotti?s significant contributions in the field. This book is composed of 10 chapters and begins with a review of the centers of three-dimensional skylanin algebras.... more...

#### Birational Geometry, Rational Curves, and Arithmetic

Springer New York 2013; US$ 149.00????This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine... more...

#### Buildings, Finite Geometries and Groups

Springer New York 2011; US$ 209.00This is the Proceedings of the ICM 2010 Satellite Conference on ?Buildings, Finite Geometries and Groups? organized at the Indian Statistical Institute, Bangalore, during August 29 ? 31, 2010. This is a collection of articles by some of the currently very active research workers in several areas related to finite simple groups, Chevalley groups and... more...

#### Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187)

Princeton University Press 2014; US$ 75.00In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the... more...

#### Classification Theory of Polarized Varieties

Cambridge University Press 1990; US$ 56.00A polarised variety is a modern generalization of the notion of a variety in classical algebraic geometry. It consists of a pair: the algebraic variety itself, together with an ample line bundle on it. Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of... more...

#### Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169)

Princeton University Press 2008; US$ 80.00In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by Fontaine-Illusie to revive nilpotent orbits as a logarithmic Hodge structure.... more...

#### Cohomological and Geometric Approaches to Rationality Problems

Birkhäuser Boston 2009; US$ 179.00Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of... more...