Interpolation on Jets

1997/03/21 by J. Alexander, Alexander, J., A. Hirschowitz +1 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9703028

5 pages, Latex2e

arxiv created 1997/03/21 · arxiv updated 2009/11/30

Abstract

We show that for any finite generic union of pairs (x_i,L_i)_i where x_i∈ L_i is a point of the line L_i in projective n-space, the divisors m_ix_i on the L_i have maximal rank with respect to homogeneous d forms for all d≥ 0 and all m_i≥ 0 modulo the expected numerical restrictions.

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