Details

Autor(en) / Beteiligte

• Lin, Kuei-Nuan
• Shen, Yi-Huang

Titel

Fiber cones of rational normal scrolls are Cohen–Macaulay

Ist Teil von

• Journal of algebraic combinatorics, 2022-09, Vol.56 (2), p.547-563

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we show that the fiber cones of rational normal scrolls are Cohen–Macaulay. As an application, we compute their Castelnuovo–Mumford regularities and a -invariants, as well as the reduction number of the defining ideals of the rational normal scrolls. We also characterize the Gorensteinness of the fiber cone.