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#### Algebraic Cycles, Sheaves, Shtukas, and Moduli

Birkhäuser Basel 2008; US$ 169.00The articles in this volume are devoted to: - moduli of coherent sheaves; - principal bundles and sheaves and their moduli; - new insights into Geometric Invariant Theory; - stacks of shtukas and their compactifications; - algebraic cycles vs. commutative algebra; - Thom polynomials of singularities; - zero schemes of sections of... more...

#### Lecture Notes on O-Minimal Structures and Real Analytic Geometry

Springer New York 2012; US$ 109.00?This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of 2009 at the Fields Institute. Five of the six contributions consist of notes from graduate courses associated with the program: Felipe Cano on a new proof of resolution of singularities for planar analytic... more...

#### Geometric Aspects of Dwork Theory

De Gruyter 2004; US$ 615.00This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special... more...

#### Liaison, Schottky Problem and Invariant Theory

Birkhäuser Basel 2011; US$ 129.00This volume is a homage to the memory of the Spanish mathematician Federico Gaeta (1923-2007). It offers a historical presentation of his life and presents surveys and original research papers on the mathematics he studied. more...

#### Real Algebraic Geometry

Springer 2013; US$ 39.95This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images.At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the... more...

#### Algebraic Geometry

De Gruyter 2003; US$ 280.00The volume consists of invited refereed research papers. The contributions cover a wide spectrum in algebraic geometry, from motives theory to numerical algebraic geometry and are mainly focused on higher dimensional varieties and Minimal Model Program and surfaces of general type. A part of the articles grew out a Conference in memory... more...

#### The Adjunction Theory of Complex Projective Varieties

De Gruyter 1995; US$ 210.00An overview of developments in the past 15 years of adjunction theory, the study of the interplay between the intrinsic geometry of a projective variety and the geometry connected with some embedding of the variety into a projective space. Topics include consequences of positivity, the Hilbert schem more...

#### Lectures on Algebraic Cycles

Cambridge University Press 2010; US$ 60.00Spencer Bloch's landmark lectures are finally back in print, with a new preface by the author reflecting on recent developments. 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...

#### Cohomological and Geometric Approaches to Rationality Problems

Birkhäuser Boston 2009; US$ 179.00Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of... more...