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#### Computational Commutative and Non-Commutative Algebraic Geometry

IOS Press 2005; US$ 126.00This publication gives a good insight in the interplay between commutative and non-commutative algebraic geometry. The theoretical and computational aspects are the central theme in this study. The topic is looked at from different perspectives in over 20 lecture reports. It emphasizes the current trends in commutative and non-commutative algebraic... more...

#### Introduction to Algebraic Geometry

Cambridge University Press 2007; US$ 40.00Central concepts most useful for computation; for undergraduate/graduate students in mathematics, researchers in applications. more...

#### Using Algebraic Geometry

Springer-Verlag New York Inc 2006; US$ 54.95The discovery of algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. This book illustrates the uses of algebraic geometry, highlighting some of the applications of Grobner bases and resultants. more...

#### Topics in Cohomological Studies of Algebraic Varieties

Birkhäuser Basel 2006; US$ 159.00The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of algebraic varieties; - quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions... more...

#### Elliptic Curves

De Gruyter 2003; US$ 168.00The basics of the theory of elliptic curves should be known to everybody, be he (or she) a mathematician or a computer scientist. Especially everybody concerned with cryptography should know the elements of this theory. The purpose of the present textbook is to give an elementary introduction to elliptic curves. Since this branch of... 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...

#### 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...

#### Standard Monomial Theory

Springer Berlin Heidelberg 2007; US$ 179.00Schubert varieties lie at the cross roads of algebraic geometry, combinatorics, commutative algebra, and representation theory. They are an important class of subvarieties of flag varieties, interesting in their own right, and providing an inductive tool for studying flag varieties. The literature on them is vast, for they are ubiquitous?they have... more...

#### 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...

#### Algebraic Theory of Locally Nilpotent Derivations

Springer Berlin Heidelberg 2007; US$ 179.00Invariant Theory and Algebraic Transformation Groups VII more...