Algebraic geometry

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An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover.

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology.

An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space.

An introduction to the state of the art in the study of Kahler groupsThis book gives an authoritative and up-to-date introduction to the study of fundamental groups of compact Kahler manifolds, known as Kahler groups.

Semi-Infinite Geometry is a theory of "e;doubly infinite-dimensional"e; geometric or topological objects.

This volume is based on four advanced courses held at the Centre de Recerca Matematica (CRM), Barcelona.

This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and PohangThe conferences were focused on the following two related problems:*  existence of Kahler-Einstein metrics on Fano varieties*  degenerations of Fano varietieson which two famous conjectures were recently proved.

Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties through arbitrary rings, in particular through non-algebraically closed fields.

The Hardy-Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists.

This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries.

This volume honors Sir Peter Swinnerton-Dyer''s mathematical career spanning more than 60 years'' of amazing creativity in number theory and algebraic geometry.

The book collects results about realization spaces of polytopes.

Spencer Bloch''s landmark lectures are finally back in print, with a new preface by the author reflecting on recent developments.

The objective of this book is to provide tools for solving problems which involve cubic number fields.

The textbook provides both beginner and experienced CAD users with the math behind the CAD.

This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics.

An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group.

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them?

Localization of Nilpotent Groups and Spaces

He [Kronecker] was, in fact, attempting to describe and to initiate a new branch of mathematics, which would contain both number theory and alge- braic geometry as special cases.

Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography.

This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field.

This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.

Field Arithmetic explores Diophantine fields through their absolute Galois groups.

Complex geometry studies (compact) complex manifolds.

The International Conference on Linear Statistical Inference LINSTAT'93 was held in Poznan, Poland, from May 31 to June 4, 1993.

Im Mittelpunkt des Buchs steht der Begriff des Gleichungssystems, wobei neben linearen Gleichungssystemen auch solche von linearen Differentialgleichungen (und sogar nicht-lineare algebraische Gleichungssysteme) betrachtet werden.

The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties.

These lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.

This book is about the smooth classification of a certainclass of algebraicsurfaces, namely regular ellipticsurfaces of geometric genus one, i.

From the reviews: "e;This volume.

Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics.