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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.47 (2015)
  6. On the lifting problem in positive characteristic
 
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On the lifting problem in positive characteristic

Bonacini, Paola
2015
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ISSN
0049-4704
DOI
10.13137/0049-4704/11224
http://hdl.handle.net/10077/11224
  • Article

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
  • lifting problem, spor...

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EUT Edizioni Università di Trieste
Languages
en
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