# On the graded Betti numbers for large finite subsets of curves

Annales Polonici Mathematici (1998)

- Volume: 69, Issue: 3, page 283-286
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

topE. Ballico. "On the graded Betti numbers for large finite subsets of curves." Annales Polonici Mathematici 69.3 (1998): 283-286. <http://eudml.org/doc/270375>.

@article{E1998,

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.},

author = {E. Ballico},

journal = {Annales Polonici Mathematici},

keywords = {Koszul cohomology; irreducible curve; Betti diagram; finite subsets of curves; graded Betti numbers},

language = {eng},

number = {3},

pages = {283-286},

title = {On the graded Betti numbers for large finite subsets of curves},

url = {http://eudml.org/doc/270375},

volume = {69},

year = {1998},

}

TY - JOUR

AU - E. Ballico

TI - On the graded Betti numbers for large finite subsets of curves

JO - Annales Polonici Mathematici

PY - 1998

VL - 69

IS - 3

SP - 283

EP - 286

AB - 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.

LA - eng

KW - Koszul cohomology; irreducible curve; Betti diagram; finite subsets of curves; graded Betti numbers

UR - http://eudml.org/doc/270375

ER -

## References

top- [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. Zbl0671.14010
- [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. Zbl0800.14003
- [5] S. Lvovski, On graded Betti numbers for finite subsets of curves, preprint 97-31, Max-Planck-Institut.

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.