Abstract
Here we consider 3 interpolation problems for homogeneous polynomials in n n + 1 variables (i.e. for zero-dimensional subschemes Z of Pn) in which the scheme Z is contained in a “ small number ” of “ parallel lines ”; here a finite union D1 ∪ … ∪ D x ⊂ Pn of lines is called a set of parallel lines if there is P ∈ Pn such that P ∈ D i for all i.
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The author was partially supported by MIUR and GNSAGA of INdAM (Italy)..
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Ballico, E. Interpolation and Parallel Lines. Results. Math. 46, 220–222 (2004). https://doi.org/10.1007/BF03322882
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DOI: https://doi.org/10.1007/BF03322882