Options
On the lifting problem in positive characteristic
Bonacini, Paola
2015
Loading...
e-ISSN
2464-8728
Abstract
Given P nk with k algebraically closed field of characteristic p > 0, and X C Pnk integral variety of codimension 2 and degree d,
let Y = X n H be the general hyperplane section of X. In this paper
we study the problem of lifting, i.e. extending, a hypersurface in H of
degree s containing Y to a hypersurface of same degree s in Pn containing X. For n = 3 and n = 4, in the case in which this extension
does not exist we get upper bounds for d depending on s and p.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
47 (2015)
Subjects
Publisher
EUT Edizioni Università di Trieste
Languages
en
File(s)