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math.AC2020
Fiber cones of rational normal scrolls are Cohen-Macaulay
Kuei-Nuan Lin, Yi-Huang Shen
In this short paper, we show that the fiber cones of rational normal scrolls are Cohen-Macaulay. As an application, we compute their Castelnuovo-Mumford regularities and $\mathbf{a…
math.AC2020
-invariants of powers of ideals
Shi-Xin Tian, Yi-Huang Shen
Inspired by the recent work of Lu and O'Rourke, we study the -invariants of (symbolic) powers of some graded ideals. The first scenario is when and are two graded idea…