On projective degenerations of Veronese spaces

Ballico, Edoardo. "On projective degenerations of Veronese spaces." Banach Center Publications 37.1 (1996): 45-51. <http://eudml.org/doc/208615>.

@article{Ballico1996,
abstract = {Here we give several examples of projective degenerations of subvarieties of $ℙ^\{t\}$. The more important case considered here is the d-ple Veronese embedding of $ℙ^\{n\}$; we will show how to degenerate it to the union of $d^\{n\}$ n-dimensional linear subspaces of $ℙ^\{t\}; t:= (n+d)/(n!d!) - 1$ and the union of scrolls. Other cases considered in this paper are essentially projective bundles over important varieties. The key tool for the degenerations is a general method due to Moishezon. We will give elsewhere several applications to postulation problems and to embedding problems.},
author = {Ballico, Edoardo},
journal = {Banach Center Publications},
keywords = {degeneration; Hilbert scheme; Veronese embedding},
language = {eng},
number = {1},
pages = {45-51},
title = {On projective degenerations of Veronese spaces},
url = {http://eudml.org/doc/208615},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Ballico, Edoardo
TI - On projective degenerations of Veronese spaces
JO - Banach Center Publications
PY - 1996
VL - 37
IS - 1
SP - 45
EP - 51
AB - Here we give several examples of projective degenerations of subvarieties of $ℙ^{t}$. The more important case considered here is the d-ple Veronese embedding of $ℙ^{n}$; we will show how to degenerate it to the union of $d^{n}$ n-dimensional linear subspaces of $ℙ^{t}; t:= (n+d)/(n!d!) - 1$ and the union of scrolls. Other cases considered in this paper are essentially projective bundles over important varieties. The key tool for the degenerations is a general method due to Moishezon. We will give elsewhere several applications to postulation problems and to embedding problems.
LA - eng
KW - degeneration; Hilbert scheme; Veronese embedding
UR - http://eudml.org/doc/208615
ER -