The effect of points fattening in dimension three
Algebraic Geometry
2014-01-28 v2
Abstract
There has been increased recent interest in understanding the relationship between the symbolic powers of an ideal and the geometric properties of the corresponding variety. While a number of results are available for the two-dimensional case, the higher-dimensional case is largely unexplored. In the present paper we study a natural conjecture arising from a result by Bocci and Chiantini. As a first step towards understanding the higher-dimensional picture, we show that this conjecture is true in dimension three. Also, we provide examples showing that the hypotheses of the conjecture may not be weakened.
Keywords
Cite
@article{arxiv.1308.4983,
title = {The effect of points fattening in dimension three},
author = {Thomas Bauer and Tomasz Szemberg},
journal= {arXiv preprint arXiv:1308.4983},
year = {2014}
}