Convex Bodies and Algebraic Geometry
by Tadao Oda
Publisher: Springer 1988
ISBN/ASIN: 364272549X
ISBN-13: 9783642725494
Number of pages: 219
Description:
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.
Download or read it online for free here:
Download link
(21MB, PDF)
Similar books
Ample Subvarieties of Algebraic Varietiesby Robin Hartshorne - Springer
These notes are an enlarged version of a three-month course of lectures. Their style is informal. I hope they will serve as an introduction to some current research topics, for students who have had a one year course in modern algebraic geometry.
(2835 views)
Lectures on the topological recursion for Higgs bundles and quantum curvesby Olivia Dumitrescu, Motohico Mulase - arXiv
The paper aims at giving an introduction to the notion of quantum curves. The main purpose is to describe the discovery of the relation between the topological recursion and the quantization of Hitchin spectral curves associated with Higgs bundles.
(2264 views)
Lectures on Curves on Rational and Unirational Surfacesby Masayoshi Miyanishi - Tata Institute of Fundamental Research
From the table of contents: Introduction; Geometry of the affine line (Locally nilpotent derivations, Algebraic pencils of affine lines, Flat fibrations by the affine line); Curves on an affine rational surface; Unirational surfaces; etc.
(4981 views)
Current Topics in Complex Algebraic Geometryby Herbert Clemens, János Kollár - Cambridge University Press
The 1992/93 year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry. This volume collects articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change.
(9986 views)