Ciro Ciliberto,
Friedrich Hirzebruch,
Rick Miranda,
Mina Teicher
e.a.
Springer Netherlands
2001e druk, 2001
9781402000058
Applications of Algebraic Geometry to Coding Theory, Physics and Computation
Specificaties
Paperback, 337 blz.
|
Engels
Springer Netherlands |
2001e druk, 2001
ISBN13: 9781402000058
Rubricering
Onderdeel van serie
NATO Science Series II: Mathematics, Physics and Chemistry
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9781402000058
Taal:Engels
Bindwijze:paperback
Aantal pagina's:337
Uitgever:Springer Netherlands
Druk:2001
Inhoudsopgave
Preface. List of Participants. List of contributors. Vector bundles on singular projective curves; I. Burban, et al. On double planes with Kodaira dimension zero; A. Calabri. Computing minimal generators of ideals of elliptic curves; L. Chiantini, et al. The Segre and Harbourne-Hirschowitz conjectures; C. Ciliberto, R. Miranda. Pillow degenerations of K3 surfaces; C. Ciliberto, et al. Computational algebraic geometry today; W. Decker, F.-O. Schreyer. Some applications of algebraic curves to computational vision; M. Fryers, et al. Coding theory and algebraic curves over finite felds; G. van der Geer. Three algorithms in algebraic geometry, coding theory and singularity theory; G.-M. Greuel, et al. Counting points on Calabi-Yau threefolds; K. Hulek, J. Spandaw. Subvarieties of abelian varieties; E. Izadi. Characteristic varieties of algebraic curves; A. Libgober. Communications networks and Hilbert modular forms; R. Livné. Compact Kähler threefolds with small Picard numbers; Th. Peternell. Abelian varieties over the field of the 20th roots of unity that have good reduction everywhere; R. Schoof. Using monodromy to decompose solution sets of polynomial systems into irreducible components; A.J. Sommese, et al. Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry; B. Szendroi.