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

Springer New York 2013; US$ 129.00?Leading experts report on recent advances in higher-dimensional birational geometry, with special regard to arithmetic applications Highlights the tight connections between arithmetic and geometry Documents the central role of the theory of rational curves more...

#### Geometric Aspects of Dwork Theory

De Gruyter 2004; US$ 587.00This 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

Springer 2010; US$ 129.00This volume is a homage to the memory of the Spanish mathematician Federico Gaeta (1923-2007). Apart from a historical presentation of his life and interaction with the classical Italian school of algebraic geometry, the volume presents surveys and original research papers on the mathematics he studied. Specifically, it is divided into three parts:... 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...

#### Cohomological and Geometric Approaches to Rationality Problems

Springer 2010; 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...

#### Algebraic Geometry and Commutative Algebra

Springer 2013; US$ 89.95Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck’s schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly... more...

#### Singularities

Cambridge University Press 1994; US$ 100.00This book contains papers given at the International Singularity Conference held in 1991 at Lille. more...