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http://hdl.handle.net/10077/11224| Title: | On the lifting problem in positive characteristic | Authors: | Bonacini, Paola | Keywords: | lifting problem, sporadic zero, surface | Issue Date: | 2015 | Publisher: | EUT Edizioni Università di Trieste | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 47 (2015) |
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. |
URI: | http://hdl.handle.net/10077/11224 | ISSN: | 0049-4704 | eISSN: | 2464-8728 | DOI: | 10.13137/0049-4704/11224 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.47 (2015) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| RIMUT_47_11_Bonacini.pdf | Full text article | 326.03 kB | Adobe PDF |  View/Open |
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