Applications of Algebraic Geometry to Coding Theory, Physics and Computation

Abstract

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.