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 |
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License | In Copyright (Rights Reserved) |
Work Type | Article |
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Publication Date | April 7, 2022 |
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Deposited | May 27, 2022 |
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