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math.AC2020
Multi-Rees Algebras of Strongly Stable Ideals
Selvi Kara, Kuei-Nuan Lin, Gabriel Sosa
We prove that the multi-Rees algebra of a collection of strongly stable ideals is of fiber type. In particular, we pr…
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
Rees Algebras of Unit Interval Determinantal Facet Ideals
Ayah Almousa, Kuei-Nuan Lin, Whitney Liske
Using SAGBI basis techniques, we find Gröbner bases for the presentation ideals of the Rees algebras and special fiber rings of unit interval determinantal facet ideals. In particu…