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Applications of Algebraic Geometry to Coding Theory, Physics and Computation (NATO Science Series II: Mathematics, Physics and Chemistry, 36, Band 36) - Hardcover

Buch 23 von 241: NATO Science Series II: Mathematics, Physics and Chemistry
 
9781402000041: Applications of Algebraic Geometry to Coding Theory, Physics and Computation (NATO Science Series II: Mathematics, Physics and Chemistry, 36, Band 36)
Hardcover
ISBN 10: 1402000049 ISBN 13: 9781402000041
Verlag: Springer, 2001

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Ciro Ciliberto has been a full professor of higher geometry at the University of Roma "Tor Vergata". Recently, he retired and kept the honorary position of "Docens Turris Virgatae" at the same university. His research fields are algebraic geometry and history of mathematics. He published more than 200 research papers, most of them in top scientific journals, and various books. He spent several research stays abroad, he has been invited to give talks to several international conferences and he is the editor of various scientific journals. Among his hobbies, there are painting and writing. Biography of Friedrich HirzebruchFriedrich Hirzebruch was born on October 17, 1927 in Hamm, Germany. He studied mathematics at the University of Münster and the ETH Zürich, under Heinrich Behnke and Heinz Hopf.Shortly after the award of his doctoral degree in 1950, he obtained an assistantship in Erlangen and then a membership at the Institute for Advanced Study, Princeton, followed by an assistant professorship at Princeton University. In 1956 he returned to Germany to a chair at the University of Bonn, which he held until his retirement in 1993. Since 1980 he has been the Director of the Max Planck Institute for Mathematics in Bonn.Hirzebruch's work has been fundamental in combining topology, algebraic and differential geometry and number theory. It has had a deep and far-reaching influence on the work of many others, who have expanded and generalized his ideas. His most famous result is the theorem of Riemann-Roch-Hirzebruch.

Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
1402000049
ISBN 13 
9781402000041
Einband
Gebundene Ausgabe
Anzahl der Seiten
352
Herausgeber
Ciliberto Ciro, Hirzebruch Friedrich, Miranda Rick, Teicher Mina
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar