arXiv subjects

Cyrille Corpet

Publications and source records attributed to Cyrille Corpet.

2 recordsLinked to original sources

arXiv2013

Torsion subschemes and the Tate-Voloch conjecture over p-adic fields

We give a new proof of the Tate-Voloch conjecture, in the situation where the ambient variety is a semiabelian variety defined over Qp. Our proof is new in the sense that it avoids any reference to algebraic model theory or p-adic Hodge theory.

math.AG↗

arXiv2012

Around the Mordell-Lang and Manin-Mumford conjectures in positive characteristic

We give a complete proof for the implication from the Manin-Mumford conjecture to the Mordell-Lang conjecture in positive characteristic, using integral models of semi-abelian varieties over a ring of formal power series, and the machinery of jet schemes.

math.AG↗