Sparsity of p-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer

Scarponi, Danny (2018) Sparsity of p-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer. ALGEBRA & NUMBER THEORY, 12 (2). pp. 411-428. ISSN 1937-0652, 1944-7833

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Abstract

By means of the theory of strongly semistable sheaves and the theory of the Greenberg transform, we generalize to higher dimensions a result on the sparsity of p-divisible unramified liftings which played a crucial role in Raynaud's proof of the Manin-Mumford conjecture for curves. We also give a bound for the number of irreducible components of the first critical scheme of subvarieties of an abelian variety which are complete intersections.

Item Type: Article
Uncontrolled Keywords: LOCAL RINGS; SCHEMATA; Manin-Mumford conjecture; number fields; p-divisible unramified liftings; Greenberg transform; strongly semistable sheaves
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Mar 2020 10:41
Last Modified: 20 Mar 2020 10:41
URI: https://pred.uni-regensburg.de/id/eprint/15384

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