On the graded Betti numbers for large finite subsets of curves

• Autorzy: E. Ballico
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Koszul cohomology   irreducible curve   Betti diagram  

Kategorie tematyczne

• 13D40: Hilbert-Samuel and Hilbert-Kunz functions; Poincar\'e series
• 13P99: None of the above, but in this section
• 14H99: None of the above, but in this section
• 14N05: Projective techniques

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 69
• Numer: 3
• Strony: 283-286

Daty

wydano

1998

otrzymano

1997-11-17

poprawiono

1998-02-16

Twórcy

autor

E. Ballico

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

Bibliografia

• [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.