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#### An Introduction to Noncommutative Differential Geometry and its Physical Applications

Cambridge University Press 1999; US$ 84.00A thoroughly revised introduction to non-commutative geometry. more...

#### Isolated Singular Points on Complete Intersections

Cambridge University Press 1984; US$ 72.00This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis. 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...

#### Complex Projective Geometry

Cambridge University Press 1992; US$ 100.00A volume of papers describing new methods in algebraic geometry. more...

#### Generalized Etale Cohomology Theories

Springer 2010; US$ 69.95A generalized etale cohomology theory is a theory which is represented by a presheaf of spectra on an etale site for an algebraic variety, in analogy with the way an ordinary spectrum represents a cohomology theory for spaces. Examples include etale cohomology and etale K-theory. This book gives new and complete proofs of both Thomason's descent... more...

#### Vector Bundles on Complex Projective Spaces

Springer 2011; US$ 39.95This expository treatment is based on a survey given by one of the authors at the Séminaire Bourbaki in November 1978 and on a subsequent course held at the University of Göttingen. It is intended to serve as an introduction to the topical question of classification of holomorphic vector bundles on complex projective spaces, and can easily... more...

#### Undergraduate Algebraic Geometry

Cambridge University Press 1988; US$ 32.00This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time. more...

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

Springer New York 2013; US$ 129.00????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...

#### 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...

#### 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...