Actual and virtual dimension of codimension 2 general linear subspaces in $\mathbb{P}^n$
Algebraic Geometry
2021-09-01 v2
Abstract
In the paper we compute the virtual dimension (defined by the Hilbert polynomial) of a space of hypersurfaces of given degree containing codimension 2 general linear subspaces in . We use Veneroni maps to find a family of unexpected hypersurfaces (in the style of B. Harbourne, J. Migliore, U. Nagel, Z. Teitler) and rigorously prove and extend examples presented in the paper by B. Harbourne, J. Migliore and H. Tutaj-Gasi\'nska.
Keywords
Cite
@article{arxiv.2009.06937,
title = {Actual and virtual dimension of codimension 2 general linear subspaces in $\mathbb{P}^n$},
author = {Natalia Kupiec},
journal= {arXiv preprint arXiv:2009.06937},
year = {2021}
}
Comments
notation change (missing expected hyp. instead of negative unexpected hyp.); stylistic changes; completed references