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

Access to Document

10.1007/s10801-022-01123-4

Cite this

@article{c396f10ce6264b86ba923a68f714428f,

title = "Fiber cones of rational normal scrolls are Cohen–Macaulay",

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.",

author = "Lin, {Kuei Nuan} and Shen, {Yi Huang}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2022",

month = sep,

doi = "10.1007/s10801-022-01123-4",

language = "English (US)",

volume = "56",

pages = "547--563",

journal = "Journal of Algebraic Combinatorics",

issn = "0925-9899",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Fiber cones of rational normal scrolls are Cohen–Macaulay

AU - Lin, Kuei Nuan

AU - Shen, Yi Huang

PY - 2022/9

Y1 - 2022/9

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85127728291&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85127728291&partnerID=8YFLogxK

U2 - 10.1007/s10801-022-01123-4

DO - 10.1007/s10801-022-01123-4

M3 - Article

AN - SCOPUS:85127728291

SN - 0925-9899

VL - 56

SP - 547

EP - 563

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 2

ER -

Fiber cones of rational normal scrolls are Cohen–Macaulay

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this