@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 = "Funding Information: The authors are grateful to the software system Macaulay2 [], for serving as an excellent source of inspiration. The second author is partially supported by the “Anhui Initiative in Quantum Information Technologies” (No. AHY150200) and the “Fundamental Research Funds for the Central Universities”. We are also thankful to the anonymous referees for the helpful comments. 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",
}