Separators of arithmetically Cohen-Macaulay fat points \(\mathbb P^1\times \mathbb P^1\)

DOI10.1216/JCA-2012-4-2-255zbMath1285.13019arXiv1005.5280OpenAlexW1994231417MaRDI QIDQ1941822

Elena Guardo, Adam Van Tuyl

Publication date: 22 March 2013

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.5280

zbMATH Keywords

Hilbert functionfat pointsCohen-Macaulayseparators

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (4)

Virtual complete intersections in \(\mathbb{P}^1\times\mathbb{P}^1\) ⋮ Fat lines in \(\mathbb P^3\): powers versus symbolic powers ⋮ On the arithmetically Cohen-Macaulay property for sets of points in multiprojective spaces ⋮ Kähler differentials for fat point schemes in \(\mathbb{P}^1\times\mathbb{P}^1\)

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