Zero-Dimensional Schemes: Proceedings of the International Conference Held in Ravello, June 8-13, 1992 ([De Gruyter Proceedings in Mathematics])

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications. Preface Contents Zero-dimensional Schemes: Singular Curves and Rational Surfaces Lectures Duality, derivations and deformations of zero-dimensional singularities On Higher Order Embeddings and Vector Bundles Singular curves on surfaces and linear systems The Strong Castelnuovo Lemma for zerodimensional schemes Hilbert Functions of Dots in Linear General Position Curves of maximal genus in P 4 Graph Curves, Colorings, and Matroids Algorithms for constructing minimal generators of ideals of projective points in polynomial time Some applications of Castelnuovo theory via residuation On the injectivity of the nodal map Syzygies of Points in Projective Space and Applications The zero dimensional scheme defined by the intersection of two curve singularities Sharp Bounds for the p-th Module of Syzygies of Certain Rational Surfaces Resolutions of O-dimensional subschemes of a smooth quadric Points in Uniform Position and Maximum Distance Separable Codes Points in Good Position in P 2 The desingularization of Hilb 4 P 3 and its Betti numbers Some applications of the canonical module of a O-dimensional scheme Zero-dimensional Schemes on Abelian Surfaces Hypersurface Sections of Curves On the computation of the height of an ideal in a polynomial ring Generators of ideals of curves: some polynomial algorithms for their computation Remarks on Graded Integral Domains of Dimension One Over a Finite Field Minimal polynomials and sparse resultants Appendices Open problems List of Participants