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

Autor: Scarponi, Danny
Rok vydání: 2016
Předmět:
Zdroj: Alg. Number Th. 12 (2018) 411-428
Druh dokumentu: Working Paper
DOI: 10.2140/ant.2018.12.411
Popis: By means of the theory of strongly semistable sheaves and of 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.
Comment: 19 pages
Databáze: arXiv