On the graded Betti numbers for large finite subsets of curves

E. Ballico

Annales Polonici Mathematici (1998)

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

Abstract

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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.

How to cite

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E. 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

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  1. [1] M. Green, Koszul cohomology, J. Differential Geom. 19 (1984), 125-171. 
  2. [2] M. Green, Koszul cohomology and geometry, in: Lectures on Riemann Surfaces (Trieste, 1987), World Sci., 1989, 177-200. 
  3. [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. [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. [5] S. Lvovski, On graded Betti numbers for finite subsets of curves, preprint 97-31, Max-Planck-Institut. 

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