The symbolic generic initial system of almost linear point configurations in \(\mathbb P^2\)

DOI10.1216/RMJ-2016-46-1-283zbMath1356.13036arXiv1304.7541MaRDI QIDQ289721

Sarah Mayes-Tang

Publication date: 31 May 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7541

zbMATH Keywords

asymptotic behaviorfat pointsgeneric initial idealssymbolic powers

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Cites Work

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• The asymptotic behaviour of symbolic generic initial systems of generic points
• The alpha problem \& line count configurations
• Combinatorial bounds on Hilbert functions of fat points in projective space
• Graded syzygies
• Free resolutions of fat point ideals on \(\mathbb{P}^2\)
• Ideals with stable Betti numbers
• The generic initial ideals of powers of a 2-complete intersection
• Containment problem for points on a reducible conic in \(\mathbb P^2\)
• Resolutions of ideals of any six fat points in \(\mathbb{P}^{2}\)
• Resolutions of small sets of fat points
• Componentwise linear ideals

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