On the postulation of \(s^d\) fat points in \(\mathbb P^d\)

DOI10.1016/j.jalgebra.2004.09.034zbMath1077.14012arXivmath/0407144OpenAlexW1991552682MaRDI QIDQ1772432

Laurent Evain

Publication date: 18 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0407144

zbMATH Keywords

Hilbert schemefat pointscollision

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Parametrization (Chow and Hilbert schemes) (14C05) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05)

Related Items (10)

New methods for determining speciality of linear systems based at fat points in \(\mathbb P^n\) ⋮ Connect four and graph decomposition ⋮ Duality for asymptotic invariants of graded families ⋮ Asymptotic resurgences for ideals of positive dimensional subschemes of projective space ⋮ Linear subspaces, symbolic powers and Nagata type conjectures ⋮ Transcendental versions in \(\mathbb{C}^n\) of the Nagata conjecture ⋮ Containments of symbolic powers of ideals of generic points in $\mathbb {P}^3$ ⋮ Demailly's conjecture on Waldschmidt constants for sufficiently many very general points in \(\mathbb{P}^n\) ⋮ Regina Lectures on Fat Points ⋮ A containment result in 𝑃ⁿ and the Chudnovsky Conjecture

Cites Work

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• La methode d'Horace pour l'interpolation à plusieurs variables
• Symplectic packings and algebraic geometry
• On the symmetric product of a curve with general moduli
• Inverse system of a symbolic power. II: The Waring problem for forms
• On rational surfaces, II
• Ample line bundles on smooth surfaces.
• On the 14-th Problem of Hilbert

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