ArticleOriginal scientific text

Title

On the graded Betti numbers for large finite subsets of curves

Authors 1

Affiliations

  1. Department of Mathematics, University of Trento, 38050 Povo (TN), Italy

Abstract

We prove a recent conjecture of S. Lvovski concerning the periodicity behaviour of top Betti numbers of general finite subsets with large cardinality of an irreducible curve C ⊂ ℙⁿ.

Keywords

Koszul cohomology, irreducible curve, Betti diagram

Bibliography

  1. M. Green, Koszul cohomology, J. Differential Geom. 19 (1984), 125-171.
  2. M. Green, Koszul cohomology and geometry, in: Lectures on Riemann Surfaces (Trieste, 1987), World Sci., 1989, 177-200.
  3. M. Green and R. Lazarsfeld, Some results on the syzygies of finite sets and algebraic curves, Compositio Math. 67 (1988), 301-314.
  4. R. Lazarsfeld, A sampling of vector bundles techniques in the study of linear series, in: Lectures on Riemann Surfaces (Trieste, 1987), World Sci., 1989, 500-559.
  5. S. Lvovski, On graded Betti numbers for finite subsets of curves, preprint 97-31, Max-Planck-Institut.
Pages:
283-286
Main language of publication
English
Received
1997-11-17
Accepted
1998-02-16
Published
1998
Exact and natural sciences