Fat points on rational normal curves

DOI10.1006/jabr.1998.7761zbMath0940.14035OpenAlexW2082721517MaRDI QIDQ1305050

Philippe Ellia, Alessandro Gimigliano, Maria Virginia Catalisano

Publication date: 24 July 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7761

zbMATH Keywords

Hilbert polynomialnumber of pointsinfinitesimal neighborhoods of a rational normal curvescheme of fat pointsvalue of the Hilbert function

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Jacobians, Prym varieties (14H40)

Related Items

Equations for point configurations to Lie on a rational normal curve ⋮ Higher distances for constant dimensions codes: the case of osculating spaces to a Veronese variety ⋮ Linear systems on a class of anticanonical rational threefolds ⋮ On Segre's bound for fat points in \(\mathbb{P}^n\) ⋮ On the first infinitesimal neighborhood of a linear configuration of points in \(\mathbb P^2\) ⋮ The geometric interpretation of Fröberg-Iarrobino conjectures on infinitesimal neighbourhoods of points in projective space ⋮ High-order vanishing ideals at \(n+3\) points of \(\mathbb{P}^n\) ⋮ Higher secant varieties of the Segre varieties \(\mathbb P^1\times\dots\times\mathbb P^1\) ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition ⋮ On linear systems with multiple points on a rational normal curve

Cites Work

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• An algebraic approach to the regularity index of fat points in \(P^ n\)
• Hilbert function and resolution of the powers of the ideal of the rational normal curve
• On the Hilbert function of fat points on a rational normal cubic
• Fat points on a conic
• Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
• A Sharp Bound for the Regularity Index of Fat Points in General Position