Bounds on Castelnuovo-Mumford Regularity for Divisors on Rational Normal Scrolls
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The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal free resolution of the defining ideas of the projective varieties. There are some bounds on the Castelnuovo-Mumford regularity of the projective variety in terms of the other basic invariants such as dimension, codimension and degree. This paper studies a bound on the regularity conjectured by Hoa, and shows this bound and extremal examples in the case of divisors on rational normal scrolls.
- Collectanea Mathematica
Collectanea Mathematica (56), 97-102, 2005