On the speciality of a curve

  • Rosario Strano


Let C ⊂ P rk, k algebraically closed field of characteristic 0, be a curve and let e(C)={max n | H1(OC(n))0} its speciality. Let Γ be the generic hyperplane section and ε ={max n | H 1(IΓ(n))≠0}. We prove that, if Γ is generated in degree ≤ ε , then e(C)=ε -1. In the case r=3 we discuss some relations between e(C) and the Hilbert function of Γ.

How to Cite
STRANO, Rosario. On the speciality of a curve. Le Matematiche, [S.l.], v. 48, n. 1, p. 135-143, apr. 1994. ISSN 2037-5298. Available at: <https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/547>. Date accessed: 26 sep. 2017.