Fiber cones of rational normal scrolls are Cohen–Macaulay

نویسندگان

چکیده

In this paper, we show that the fiber cones of rational normal scrolls are Cohen–Macaulay. As an application, compute their Castelnuovo–Mumford regularities and $$\varvec{a}$$ -invariants, as well reduction number defining ideals scrolls. We also characterize Gorensteinness cone.

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ژورنال

عنوان ژورنال: Journal of Algebraic Combinatorics

سال: 2022

ISSN: ['0925-9899', '1572-9192']

DOI: https://doi.org/10.1007/s10801-022-01123-4