Interpolation on surfaces in P^3
Algebraic Geometry
2011-01-06 v3
Abstract
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.
Cite
@article{arxiv.1006.4686,
title = {Interpolation on surfaces in P^3},
author = {Jack Huizenga},
journal= {arXiv preprint arXiv:1006.4686},
year = {2011}
}
Comments
21 pages, 1 figure. Version 3 streamlines the exposition considerably