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#### 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

Springer 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...

#### Global Aspects of Complex Geometry

Springer 2006; US$ 119.00Present an overview of developments in Complex Geometry. This book covers topics that range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kahler geometry, and group actions to Hodge theory and characteristic p-geometry. more...

#### Algebraic Geometry and Geometric Modeling

Springer 2006; US$ 179.00Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. This book is a collection of articles bridging these two areas. more...

#### Geometric Modeling and Algebraic Geometry

Springer 2007; US$ 159.00The two fields of Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. This contributed book presents, in 12 chapters written by leading experts, recent... more...

#### Standard Monomial Theory

Springer 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 Geometry and Number Theory

Springer 2007; US$ 229.00One of the most creative mathematicians, Vladimir Drinfeld has received the Fields Medal in 1990. This book presents a collection of invited papers by mathematicians in algebra, algebraic geometry, and number theory dedicated to Drinfeld. It reflects the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory. more...

#### Mixed Hodge Structures

Springer 2008; US$ 189.00This is the first comprehensive basic monograph on mixed Hodge structures. Starting with a summary of classic Hodge theory from a modern vantage point the book goes on to explain Deligne's mixed Hodge theory. Here proofs are given using cubical schemes rather than simplicial schemes. Next come Hain's and Morgan's results on mixed Hodge... more...

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

Springer 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 vector bundles. The... more...

#### Algebraic Theory of Locally Nilpotent Derivations

Springer 2007; US$ 179.00Explores the theory and application of locally nilpotent derivations. This book provides a unified treatment of the subject, beginning with 16 First Principles on which the entire theory is based. It also covers: progress in the dimension three case, finiteness questions, algorithms, and the Makar-Limanov invariant. more...