Symbolic powers of ideals of generic points in \(\mathbb P^3\)

DOI10.1016/j.jpaa.2011.12.010zbMath1259.14036OpenAlexW2963388287MaRDI QIDQ456827

Marcin Dumnicki

Publication date: 16 October 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.12.010

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Plane and space curves (14H50)

Related Items (10)

The Alexander–Hirschowitz Theorem and Related Problems ⋮ Mini-workshop: Ideals of linear subspaces, their symbolic powers and Waring problems. Abstracts from the mini-workshop held February 15--21, 2015. ⋮ Homaloidal nets and ideals of fat points II: Subhomaloidal nets ⋮ Chudnovsky's conjecture for very general points in \(\mathbb{P}_k^N\) ⋮ Symbolic Powers of Monomial Ideals ⋮ Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\) ⋮ A vanishing theorem and symbolic powers of planar point ideals ⋮ Lower semi-continuity of the Waldschmidt constants ⋮ Containments of symbolic powers of ideals of generic points in $\mathbb {P}^3$ ⋮ A containment result in 𝑃ⁿ and the Chudnovsky Conjecture

Cites Work

• An algorithm to bound the regularity and nonemptiness of linear systems in \(\mathbb P^n\)
• Are symbolic powers highly evolved?
• The resurgence of ideals of points and the containment problem
• Comparing powers and symbolic powers of ideals
• Unnamed Item

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