Interpolation on Jets
Copyright policy )Interpolation on Jets
We show that for any finite generic union of pairs $(x_i,L_i)_i$ where $x_i\in L_i$ 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 $d\geq 0$ and all $m_i\geq 0$ modulo the expected numerical restrictions.
5 pages, Latex2e
- Centre Hospitalier Universitaire de Nice France
- Nice Sophia Antipolis University France
- University of Angers France
Mathematics - Algebraic Geometry, Algebra and Number Theory, Projective techniques in algebraic geometry, FOS: Mathematics, Divisors, linear systems, invertible sheaves, divisor, Algebraic Geometry (math.AG), maximal rank of jets
Mathematics - Algebraic Geometry, Algebra and Number Theory, Projective techniques in algebraic geometry, FOS: Mathematics, Divisors, linear systems, invertible sheaves, divisor, Algebraic Geometry (math.AG), maximal rank of jets
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