The resurgence of ideals of points and the containment problem
By Cristiano Bocci, Brian Harbourne. 2009
81 citations recorded by the source corpus.
We relate properties of linear systems on X to the question of when I r contains I (m) in the case that I is the homogeneous ideal of a finite set of distinct points p 1 ,...,p n ∈ P 2 , where X is the surface obtained by blowing up the points. We obtain complete answers for when I r contains I (m) when the points p i lie on a smooth conic or when the points are general and n ≤ 9.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/c29ed0f690349e5784eac0eae88bb9655374f450
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Brian Harbourne
- Cristiano Bocci
- Adam Van Tuyl
- Uwe Nagel
- Alexandra Seceleanu
- Susan M. Cooper
- Thanh Vu
- Elena Guardo
In Computational Theory and Mathematics
- Cristiano Bocci
- Brian Harbourne
- Uwe Nagel
- Alexandra Seceleanu
- Susan M. Cooper
- Thanh Vu
- Adam Van Tuyl
- Elena Guardo
In Geometry and Topology
- Cristiano Bocci
- Brian Harbourne
- Adam Van Tuyl
- Uwe Nagel
- Alexandra Seceleanu
- Susan M. Cooper
- Thanh Vu
- Elena Guardo
Citations in the corpus
- The Waldschmidt constant for squarefree monomial ideals (2015, background): “, in number theory [5, 28, 29], complex analysis [26], algebraic geometry [3, 4, 11, 24] and commutative algebra [18].”