Segre's Bound and the Case ofn+ 2 Fat Points of ℙn
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Publication:2880410
DOI10.1080/00927872.2010.529093zbMath1248.14055OpenAlexW2110424465MaRDI QIDQ2880410
Beatrice Benedetti, Anna Lorenzini, Giuliana Fatabbi
Publication date: 13 April 2012
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2010.529093
Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)
Related Items (6)
Higher distances for constant dimensions codes: the case of osculating spaces to a Veronese variety ⋮ On invariant of the regularity index of fat points ⋮ On Segre's bound for fat points in \(\mathbb{P}^n\) ⋮ The regularity index of up to \(2n-1\) equimultiple fat points of \(\mathbb{P}^n\) ⋮ On the regularity index of s fat points not on a linear (r−1)-space, s≤r+3 ⋮ Kähler differentials and Kähler differents for fat point schemes
Cites Work
- On the Cohen-Macaulay type of s-lines in \(A^{n+1}\)
- Regularity index of fat points in the projective plane
- Segre bound for the regularity index of fat points in \(\mathbb{P}^3\)
- Resolutions of ideals of fat points with support in a hyperplane
- The Geometry of Syzygies
- SHARP UPPER BOUND FOR THE REGULARITY OF ZERO-SCHEMES OF DOUBLE POINTS IN
- On a sharp bound for the regularity index of any set of fat points
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