DMCA. Copyrighted Work that you can Claim.
Base have 223 081 books.
Search: 


📙 Convex bodies and algebraic geometry: An introduction to the theory of toric varieties by Tadao Oda — pdf free


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. It is an updated and corrected English edition of the author's book in Japanese published by Kinokuniya, Tokyo in 1985. Toric varieties are here treated as complex analytic spaces. Without assuming much prior knowledge of algebraic geometry, the author shows how elementary convex figures give rise to interesting complex analytic spaces. Easily visualized convex geometry is then used to describe algebraic geometry for these spaces, such as line bundles, projectivity, automorphism groups, birational transformations, differential forms and Mori's theory. Hence this book might serve as an accessible introduction to current algebraic geometry. Conversely, the algebraic geometry of toric varieties gives new insight into continued fractions as well as their higher-dimensional analogues, the isoperimetric problem and other questions on convex bodies. Relevant results on convex geometry are collected together in the appendix.

About book:

About file:

  • DPI: 600
  • File size: 2 385 744
  • Format: djvu


Security code:
Download button

Similar books results


Introduction to Toric Varieties. (AM-131)
Introduction to Toric Varieties. (AM-131) free epub by William Fulton

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. Since many algebraic geometry notions such as singularities, birational maps, ...

Contributions to Algebraic Geometry: Impanga Lecture Notes
Contributions to Algebraic Geometry: Impanga Lecture Notes free download by Piotr Pragacz

The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Będlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces; Prym varieties and their modul...

Algebraic Geometry: An Introduction
Algebraic Geometry: An Introduction epub download by Daniel Perrin (auth.)

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergra...

Algebraic Geometry: An Introduction
Algebraic Geometry: An Introduction free download by Daniel Perrin (auth.)

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergra...

Introduction to toric varieties
Introduction to toric varieties download pdf by William Fulton

This textbook aims to develop the foundations of the study of toric varieties, which are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidian space with verticies in lattice points...

Derived Categories in Algebraic Geometry: Tokyo 2011
Derived Categories in Algebraic Geometry: Tokyo 2011 free epub by Yujiro Kawamata, Yujiro Kawamata

The study of derived categories is a subject that attracts increasingly many mathematicians from various fields of mathematics, including abstract algebra, algebraic geometry, representation theory, and mathematical physics. The concept of the derived cat...

Topics in Algebraic Geometry and Geometric Modeling: Workshop on Algebraic Geometry and Geometric Modeling, July 29-August 2, 2002, Vilnius University, Lithuania
Topics in Algebraic Geometry and Geometric Modeling: Workshop on Algebraic Geometry and Geometric Modeling, July 29-August 2, 2002, Vilnius University, Lithuania pdf free by Workshop on Algebraic Geometry and Geome, Rimvydas Krasauskas (ed.)

Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise pol...

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra download pdf by David A. Cox, John Little, Donal O’Shea

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of wa...

Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra
Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra free epub by David A. Cox, John Little, Donal O’Shea

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? And if there are infinitely many solutions, how can they ...

Six Degrees of Social Influence: Science, Application, and the Psychology of Robert Cialdini
Six Degrees of Social Influence: Science, Application, and the Psychology of Robert Cialdini epub download by Douglas T. Kenrick, Noah J. Goldstein, Sanford L. Braver (editors)

Over the course of the last four decades, Robert Cialdini's work has helped spark an intellectual revolution in which social psychological ideas have become increasingly influential. The concepts presented in his book, Influence: The Psychology of Persuas...

Contemporary Responses to the Holocaust (Praeger Series on Jewish and Israeli Studies)
Contemporary Responses to the Holocaust (Praeger Series on Jewish and Israeli Studies) download pdf by Konrad Kwiet, Jürgen Matthäus (editors)

The murder of six million Jews during the Holocaust is a crime that has had a lasting and massive impact on our time. Despite the immense, ever-increasing body of Holocaust literature and representation, no single interpretation can provide definitive ans...

Top 10 Rome (Eyewitness Top 10 Travel Guides)
Top 10 Rome (Eyewitness Top 10 Travel Guides) free download by Reid Bramblett, Jeffrey Kennedy

DK Eyewitness Top 10 Guides make any destination accessible by offering dozens of lists of the 10 best restaurants, bars, neighborhoods, hotels, local attractions, and much more. With insider tips for every visitor, the Top 10 series offers inside knowled...

Loss Prevention and Safety Control: Terms and Definitions (Occupational Safety & Health Guide Series)
Loss Prevention and Safety Control: Terms and Definitions (Occupational Safety & Health Guide Series) pdf free by Dennis P. Nolan

An encyclopedic, A-Z listing of terminology, Loss Prevention and Safety Control: Terms and Definitions addresses the need for a comprehensive reference that provides a complete and sufficient description of the terminology used in the safety/loss preventi...

  An Introduction to Philosophy (A Sheed & Ward Classic)
An Introduction to Philosophy (A Sheed & Ward Classic) free download by Jacques Maritain

Jacques Maritain's An Introduction to Philosophy was first published in 1931. Since then, this book has stood the test of time as a clear guide to what philosophy is and how to philosophize. Inspired by the Thomistic Revival called for by Leo XIII, Marita...

Deep excavations: a practical manual
Deep excavations: a practical manual free epub by Malcolm Puller

This book assembles the practical rules and details for the efficient and economical execution of deep excavations. It draws together a wealth of experience of both design and construction from published work and the lifetime practice of the author. This ...

Corpus vasorum antiquorum: Thebes Archaeological Museum i (Greece 6)

Philosophical Troubles: Collected Papers, Volume 1
Philosophical Troubles: Collected Papers, Volume 1 epub download by Saul A. Kripke

This important new book is the first of a series of volumes collecting the essential articles by the eminent and highly influential philosopher Saul A. Kripke. It presents a mixture of published and unpublished articles from various stages of Kripke's st...

Cirugía Endovascular de las arterias distales de los miembros inferiores

  The Eensy Weensy Spider Freaks Out! (Big-Time!)