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#### 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 number theory is... 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...

#### 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...

#### Global Aspects of Complex Geometry

Springer Berlin Heidelberg 2006; US$ 119.00Over the period 2000?2006 the Deutsche Forschungsgemeinschaft sponsored a special Schwerpunkt programme, entitled ?Global Methods in Complex - ometry?. The articles of this volume grew out of this programme and document some of the scienti?c activity performed in the realm of the Schwerpunkt. They also aim at giving a broader overview of recent developments... 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...