Regina Lectures on Fat Points
From MaRDI portal
Publication:5261421
DOI10.1007/978-1-4939-0626-0_3zbMath1315.14012arXiv1310.3552OpenAlexW1598181343MaRDI QIDQ5261421
Brian Harbourne, Susan Marie Cooper
Publication date: 3 July 2015
Published in: Connections Between Algebra, Combinatorics, and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.3552
Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05)
Related Items (7)
The asymptotic behaviour of symbolic generic initial systems of generic points ⋮ Betti numbers of symmetric shifted ideals ⋮ Kähler differential algebras for 0-dimensional schemes ⋮ Postulation of generic lines and one double line in \(\mathbb {P}^n\) in view of generic lines and one multiple linear space ⋮ Fat point ideals in \(\mathbb{K}[\mathbb{P}^N\) with linear minimal free resolutions and their resurgences] ⋮ Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces ⋮ Hilbert polynomials of Kähler differential modules for fat point schemes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Containment results for ideals of various configurations of points in \(\mathbb P^N\)
- Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\)
- Combinatorial bounds on Hilbert functions of fat points in projective space
- Blowings-up of \({\mathbb{P}}^ 2\) and their blowings-down
- Monomial ideals and points in projective space
- Sur une minoration du degré d'hypersurfaces s'annulant en certains points
- Hilbert functions of graded algebras
- The minimal free resolution for the first infinitesimal neighborhoods of \(n\) general points in the plane
- Free resolutions of fat point ideals on \(\mathbb{P}^2\)
- The ideal resolution for generic 3-fat points in \(\mathbb P^2\).
- An asymptotic vanishing theorem for generic unions of multiple points
- Comparison of symbolic and ordinary powers of ideals.
- Linear systems on a special rational surface
- On the postulation of \(s^d\) fat points in \(\mathbb P^d\)
- Ranks of tensors, secant varieties of Segre varieties and fat points
- The ideal generation problem for fat points
- Counterexamples to the \(I^{(3)}\subset I^2\) containment
- On the minimal free resolution for fat point schemes of multiplicity at most 3 in \(\mathbb P ^2\)
- Connectedness of Hilbert scheme
- Are symbolic powers highly evolved?
- Global aspects of the geometry of surfaces
- On rational surfaces, II
- The Hilbert Function of a Reduced K -Algebra
- Betti numbers for fat point ideals in the plane: A geometric approach
- A primer on Seshadri constants
- Fat points on a conic
- Une conjecture pour la cohomologie des diviseurs sur les surfaces rationelles génériques.
- Degenerations of Planar Linear Systems
- The Geometry of Schemes
- Linear systems with multiple base points in ℙ2
- Resolutions of ideals of quasiuniform fat point subschemes of 𝐏²
- Glicci ideals
- On the 14-th Problem of Hilbert
- On the Kantor Group of a Set of Points in a Plane
- Uniform bounds and symbolic powers on smooth varieties
- Resolutions of fat points ideals involving eight general point of \(\mathbb{P}^2\)
This page was built for publication: Regina Lectures on Fat Points