Aleksandra Sobieska

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20172021

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math.AC2019

Toward Free Resolutions Over Scrolls

Laura Felicia Matusevich, Aleksandra Sobieska

Let $R = k [x] / I$ where $I$ is the defining ideal of a rational normal $k$ -scroll. We compute the Betti numbers of the ground field $k$ as a module over $R$ . For $k = 2$ , w…

math.AC2018

Counterexamples for Cohen-Macaulayness of Lattice Ideals

Laura Felicia Matusevich, Aleksandra Sobieska

Let $L \subset Z^{n}$ be a lattice, $I$ its corresponding lattice ideal, and $J$ the toric ideal arising from the saturation of $L$ . We produce infinitely…