Convex Bodies and Algebraic Geometry

Large book cover: Convex Bodies and Algebraic Geometry

Convex Bodies and Algebraic Geometry

Publisher: Springer
ISBN/ASIN: 364272549X
ISBN-13: 9783642725494
Number of pages: 219

The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interesting applications found since toric varieties were introduced in the early 1970's.

Home page url

Download or read it online for free here:
Download link
(21MB, PDF)

Similar books

Book cover: Introduction to Algebraic Topology and Algebraic GeometryIntroduction to Algebraic Topology and Algebraic Geometry
Introduction to algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for algebraically integrable systems and the geometry of quantum field and string theory.
Book cover: Analysis on Homogeneous SpacesAnalysis on Homogeneous Spaces
by - Royal Institute of Technology Stockholm
The main goal of these notes is to give a proof of the basic facts of harmonic analysis on compact symmetric spaces and then to apply these to concrete problems involving things such as the Radon and related transforms on these spaces.
Book cover: Algorithms in Real Algebraic GeometryAlgorithms in Real Algebraic Geometry
by - Springer
The monograph gives a detailed exposition of the algorithmic real algebraic geometry. It is well written and will be useful both for beginners and for advanced readers, who work in real algebraic geometry or apply its methods in other fields.
Book cover: Abelian VarietiesAbelian Varieties
Introduction to both the geometry and the arithmetic of abelian varieties. It includes a discussion of the theorems of Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in which he proves Mordell's Conjecture.