Linear systems of plane curves through fixed fat points of \(\mathbb{P}^ 2\)

DOI10.1016/0021-8693(91)90218-WzbMath0758.14004OpenAlexW2084162333MaRDI QIDQ1178857

Maria Virginia Catalisano

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90218-w

zbMATH Keywords

linear system of plane curvesfat pointsbounds for the regularity

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Divisors, linear systems, invertible sheaves (14C20)

Related Items

An algebraic approach to the regularity index of fat points in \(P^ n\), A Sharp Bound for the Regularity Index of Fat Points in General Position, The Fat Locus of Hilbert Schemes of Points, On Segre's bound for fat points in \(\mathbb{P}^n\), Regularity Index ofS + 2 Fat Points not on a Linear (S − 1)-Space, Resolutions of fat points ideals involving eight general point of \(\mathbb{P}^2\), Curves having one place at infinity and linear systems on rational surfaces, On the regularity index of s fat points not on a linear (r−1)-space, s≤r+3, Segre bound for the regularity index of fat points in \(\mathbb{P}^3\), The effect of points fattening on Hirzebruch surfaces, On curvilinear subschemes of \(\mathbb{P}^ 2\)

Cites Work

• Nonsingular curves passing through points of \({\mathbb{P}}^ 2\) in generic position. I
• Nonsingular curves passing through points of \({\mathbb{P}}^ 2\) in generic position. II
• Regularity of linear systems of plane curves
• Remarks on the postulation of zero-dimensional subschemes of projective space
• On the Cohen-Macaulay type of s-lines in \(A^{n+1}\)
• Sui teoremi di Bezout, Jacobi e Reiss
• On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$
• On rational surfaces, II
• Complete Linear Systems on Rational Surfaces
• Une conjecture pour la cohomologie des diviseurs sur les surfaces rationelles génériques.
• Lectures on Curves on an Algebraic Surface. (AM-59)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item