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#### Generalized Etale Cohomology Theories

Springer Basel 2010; US$ 63.39This book offers new, complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem, exposing major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular. more...

#### Vector Bundles on Complex Projective Spaces

Springer Basel 2011; US$ 62.30This book serves as an introduction to the topical question of classification of holomorphic vector bundles on complex projective spaces. It includes many examples, historical remarks, unsolved problems. 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...

#### Resolution of Curve and Surface Singularities in Characteristic Zero

Springer Netherlands 2012; US$ 102.28The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve... more...

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

Springer New York 2013; US$ 129.32This 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$ 82.50 US$ 75.08In 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...

#### Trigonometry For Dummies

Wiley 2014; US$ 19.99 US$ 17.50A plain-English guide to the basics of trig Trigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music... more...

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

Princeton University Press 2008; US$ 85.00 US$ 77.35In 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$ 196.00Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the appearance of new topics such as modern cryptography,... more...

#### The Elementary Theory of Groups

De Gruyter 2014; US$ 210.00After 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. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally... more...