Given Pnk, with k algebraically closed field of characteris- tic p > 0, and X ⊂ Pnk integral variety of codimension 2 and degree d, let Y = X ∩ 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 con- taining 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.
On the lifting problem in positive characteristic
BONACINI, PAOLA
2015-01-01
Abstract
Given Pnk, with k algebraically closed field of characteris- tic p > 0, and X ⊂ Pnk integral variety of codimension 2 and degree d, let Y = X ∩ 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 con- taining 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.File in questo prodotto:
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