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2018 Sparsity of $p$-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer
Danny Scarponi
Algebra Number Theory 12(2): 411-428 (2018). DOI: 10.2140/ant.2018.12.411

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.

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Danny Scarponi. "Sparsity of $p$-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer." Algebra Number Theory 12 (2) 411 - 428, 2018. https://doi.org/10.2140/ant.2018.12.411

Information

Received: 9 March 2017; Revised: 9 November 2017; Accepted: 19 December 2017; Published: 2018
First available in Project Euclid: 23 May 2018

zbMATH: 06880893
MathSciNet: MR3803708
Digital Object Identifier: 10.2140/ant.2018.12.411

Subjects:
Primary: 14K12
Secondary: 14K15

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.12 • No. 2 • 2018
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