Fiber cones of rational normal scrolls are Cohen-Macaulay

2020/09/08 by Lin, Kuei-Nuan, Shen, Yi-Huang · 2 citations
#13A30 #13C40 #13P10 (Primary) #14M12 (Secondary) #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.03484

Abstract

In this short 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.

Cited by

• Analytic spread of binomial edge ideals
• Algebraic invariants of the special fiber ring of ladder determinantal modules

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