Fiber cones of rational normal scrolls are Cohen–Macaulay

Kuei Nuan Lin; Yi Huang Shen

doi:10.1007/s10801-022-01123-4

Fiber cones of rational normal scrolls are Cohen–Macaulay

Kuei Nuan Lin
, Yi Huang Shen

Penn State Greater Allegheny

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	547-563
Number of pages	17
Journal	Journal of Algebraic Combinatorics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1007/s10801-022-01123-4
State	Published - Sep 2022

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.1007/s10801-022-01123-4

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abstract = "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.",

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AB - 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.

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Fiber cones of rational normal scrolls are Cohen–Macaulay

Abstract

All Science Journal Classification (ASJC) codes

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