Applications of algebraic geometry to coding theory, physics and computation
[Book]
edited by Ciro Ciliberto ... [et al.].
Dordrecht [etc]
Kluwer Academic Publisher
2001
XV, 337 p. ; 24 cm.
Nato Science Series, II,, Mathematics, physics and chemistry ;, 36.
Ponencias presentadas en Nato Advanced Research Workshop on "Applications of algebraic geometry to coding theory, physics and computation" celebrado en Eilat, Israel del 25 feb. a 1 marzo 2001.
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. Livne. Compact Kahler 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.