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Most popular at the top
- Cambridge University Press 1990; US$ 56.00
A 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...
Geometric Galois Actions: Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class GroupsCambridge University Press 1997; US$ 96.00
This book surveys progress in the domains described in Grothendieck's seminal manuscript 'Esquisse d'un Programme'. more...
- Cambridge University Press 1999; US$ 84.00
A thoroughly revised introduction to non-commutative geometry. more...
- Springer 2010; US$ 69.95
A 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...
- Springer 2011; US$ 39.95
This 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...
- 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...
- Princeton University Press 2014; US$ 75.00
In 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...
- Princeton University Press 2008; US$ 72.50
In 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...