Homogeneous interpolation on ten points

Author:

Ciliberto Ciro,Miranda Rick

Abstract

In this paper we prove that for all pairs ( d , m ) (d,m) with d / m 174 / 55 d/m\geq 174/55 , the linear system of plane curves of degree d d with ten general base points of multiplicity m m has the expected dimension.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

Reference24 articles.

1. G. Castelnuovo: Ricerche generali sopra i sistemi lineari di curve piane, Mem. Accad. Sci. Torino, II 42 (1891).

2. Bivariate Hermite interpolation and linear systems of plane curves with base fat points;Ciliberto, Ciro,2003

3. Degenerations of planar linear systems;Ciliberto, Ciro;J. Reine Angew. Math.,1998

4. Linear systems of plane curves with base points of equal multiplicity;Ciliberto, Ciro;Trans. Amer. Math. Soc.,2000

5. Matching conditions for degenerating plane curves and applications;Ciliberto, Ciro,2005

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