Resumen de Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls

Chikashi Miyazaki

• The CastelnuovoMumford regularity is one of the most important invariants in studying the minimal free resolution of the defining ideals of the projective varieties. There are some bounds on the CastelnuovoMumford 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.