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#### 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...

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

Springer 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... more...

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

Princeton University Press 2008; US$ 72.50In 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...

#### Algebraic Curves and Finite Fields

De Gruyter 2014; US$ 182.00This bookcollects the results of the workshops on Applications of Algebraic CurvesandApplications of Finite Fieldsat the RICAMin 2013. These workshopsbrought together the most prominet researchers in the area of finite fields and their applications around the world, addressing old and new problems on curves and other aspects of finite fields, with... more...

#### The Elementary Theory of Groups

De Gruyter 2014; US$ 196.00After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. more...

#### Algebraic Geometry and Its Applications

World Scientific Publishing Company 2008; US$ 354.00This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter... more...

#### Algebraic Geometry

De Gruyter 2014; US$ 126.00Algebraic geometry has a complicated, difficultlanguage. This bookcontains a definition, several references and the statements of the main theorems (without proofs) for every of the most common words in this subject. Some terms of relatedsubjects are included. It helps beginners that know some, but not all,basic facts of algebraic geometryto follow... more...

#### Deformations of Surface Singularities

Springer 2014; US$ 109.00The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples. ?The aim is to collect material that will help mathematicians already working or wishing to work... more...

#### Trigonometrie kompakt fur Dummies

Wiley 2014; US$ 8.95Die Trigonometrie ist Grundlage für viele andere Bereiche derMathematik und gerade deshalb sollten Sie sie nie aus den Augenverlieren. »Trigonometrie kompakt für Dummies« gibtIhnen einen schnellen Überblick über das, was Sieüber die Trigonometrie unbedingt wissen sollten. Mit diesemBuch lernen Sie, was Sie über... more...