Collisions of fat points and applications to interpolation theory
Algebraic Geometry
2019-06-25 v2
Abstract
We address the problem to determine the limit of the collision of fat points in $\mathbb{P}^n. We give a description of the limit scheme in many cases, in particular in low dimension and multiplicities. The problem turns out to be closely related with interpolation theory, and as an application we exploit collisions to prove some new cases of Laface-Ugaglia Conjecture.
Keywords
Cite
@article{arxiv.1803.02746,
title = {Collisions of fat points and applications to interpolation theory},
author = {Francesco Galuppi},
journal= {arXiv preprint arXiv:1803.02746},
year = {2019}
}
Comments
19 pages