Interpolation on surfaces in P^3

Details Interpolation on surfaces in P^3 Interpolation on surfaces in P^3

2010-06-24

arxiv.org/abs/1006.4686v3

Mathematics

Algebraic Geometry

21 pages, 1 figure. Version 3 streamlines the exposition considerably

Scientific paper

Given a surface S in P^3 and a collection of general points on it, how many
surfaces of a given degree intersect S in a curve with prescribed
multiplicities at the points? We formulate two natural conjectures which would
answer this question, and we show they are equivalent. We then prove these
conjectures in case all multiplicities are small.

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