Zero-Dimensional Schemes

Proceedings of the International Conference held in Ravello, June 8-13, 1992

By: Ferruccio Orecchia (Editor), Luca Chiantini (Editor)

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Hardcover | 3 November 2016

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348 Pages

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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.

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Non-Fiction Mathematics Geometry Algebraic Geometry Algebra

Preface
Zero-dimensional schemes: Singular curves and rational surfaces	p. 1
Duality, derivations and deformations of zero-dimensional singularities	p. 11
On higher order embeddings and vector bundles	p. 33
Singular curves on surfaces and linear systems	p. 43
The strong Castelnuovo lemma for zero dimensional schemes	p. 53
Hilbert functions of dots in linear general position	p. 65
Curves of maximal genus in P[superscript 4]	p. 81
Graph curves, colorings, and matroids	p. 89
Algorithms for constructing minimal generators of ideals of projective points in polynomial time	p. 113
Some applications of Castelnuovo theory via residuation	p. 121
On the injectivity of the nodal map	p. 131
Syzygies of points in projective space and applications	p. 145
The zero dimensional scheme defined by the intersection of two curve singularities	p. 171
Sharp bounds for the p-th module of syzygies of certain rational surfaces	p. 179
Resolutions of 0-dimensional subschemes of a smooth quadric	p. 191
Points in uniform position and maximum distance separable codes	p. 205
Points in good position in P[superscript 2]	p. 213
The desingularization of Hilb[superscript 4]P[superscript 3] and its Betti numbers	p. 231
Some applications of the canonical module of a 0-dimensional scheme	p. 243
Zero-dimensional schemes on abelian surfaces	p. 253
Hypersurface sections of curves	p. 269
On the computation of the height of an ideal in a polynomial ring	p. 283
Generators of ideals of curves: some polynomial algorithms for their computation	p. 299
Remarks on graded integral domains of dimension one over a finite field	p. 307
Minimal polynomials and sparse resultants	p. 317
App: Open problems	p. 325
App. List of participants	p. 333
Table of Contents provided by Blackwell. All Rights Reserved.

Zero-Dimensional Schemes

Proceedings of the International Conference held in Ravello, June 8-13, 1992

At a Glance

Hardcover

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