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

作者：Scarponi Danny^*

来源：Algebra and Number Theory, 2018, 12(2): 411-428.

DOI：10.2140/ant.2018.12.411

• Manin-Mumford conjecture
• number fields
• p-divisible unramified liftings
• Greenberg transform
• strongly semistable sheaves

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.

• 出版日期2018