Fiber cones of rational normal scrolls are Cohen-Macaulay

We show that the fiber cones of general rational normal scrolls are Cohen--Macaulay and compute their Castelnuovo--Mumford regularities. Then we study the secant varieties of balanced rational normal scrolls. We describe the defining equations of their associated Rees algebras and compute the Castelnuovo--Mumford regularities of their fiber cones.

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10801-022-01123-4

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Work Title Fiber cones of rational normal scrolls are Cohen-Macaulay
Access
Open Access
Creators
  1. Kuei-Nuan Lin
  2. Yi-Huang Shen
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Springer Science and Business Media LLC
Publication Date April 7, 2022
Publisher Identifier (DOI)
  1. 10.1007/s10801-022-01123-4
Source
  1. Journal of Algebraic Combinatorics
Deposited May 27, 2022

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    Work Title
    • Fiber cones of rational normal scrolls are Cohen-Macaulay
    • ! Fiber cones of rational normal scrolls are Cohen-Macaulay
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    Work Title
    • ! Fiber cones of rational normal scrolls are Cohen-Macaulay
    • Fiber cones of rational normal scrolls are Cohen-Macaulay
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