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Applications of Algebraic Geometry to Coding Theory, Physics and Computation : NATO Science Series II: Mathematics, Physics and Chemistry - Ciro Ciliberto

Applications of Algebraic Geometry to Coding Theory, Physics and Computation

NATO Science Series II: Mathematics, Physics and Chemistry

By: Ciro Ciliberto (Editor), Friedrich Hirzebruch (Editor), Rick Miranda (Editor), Mina Teicher (Editor)

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Published: 31st August 2001
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An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.

Preface
List of Participants
List of contributors
Vector bundles on singular projective curves
On double planes with Kodaira dimension zero
Computing minimal generators of ideals of elliptic curves
The Segre and Harbourne-Hirschowitz conjectures
Pillow degenerations of K3 surfaces
Computational algebraic geometry today
Some applications of algebraic curves to computational vision
Coding theory and algebraic curves over finite felds
Three algorithms in algebraic geometry, coding theory and singularity theory
Counting points on Calabi-Yau threefolds
Subvarieties of abelian varieties
Characteristic varieties of algebraic curves
Communications networks and Hilbert modular forms
Compact Ka'hler threefolds with small Picard numbers
Abelian varieties over the field of the 20th roots of unity that have good reduction everywhere
Using monodromy to decompose solution sets of polynomial systems into irreducible components
Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9781402000058
ISBN-10: 1402000057
Series: NATO Science Series II: Mathematics, Physics and Chemistry
Audience: General
Format: Paperback
Language: English
Number Of Pages: 337
Published: 31st August 2001
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 1.88
Weight (kg): 0.5