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#### Singularities of Plane Curves

Cambridge University Press 2000; US$ 76.00Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results. more...

#### Generalized Etale Cohomology Theories

Springer Basel 2010; US$ 56.98This 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$ 56.01This 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$ 91.95The 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$ 116.26????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$ 78.50 US$ 71.44In 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$ 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$ 147.92This book collects the results of the workshops on Applications of Algebraic Curves and Applications of Finite Fields at the RICAM in 2013. These workshops brought 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... more...

#### The Elementary Theory of Groups

De Gruyter 2014; US$ 158.49After 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...