14 citations · 67 across the 13 of their papers we have counts for
4 papers · 2 filters
Reductions of abelian surfaces over global function fields
Davesh Maulik, Ananth N. Shankar, Yunqing Tang
Let be a non-isotrivial ordinary abelian surface over a global function field with good reduction everywhere. Suppose that does not have real multiplication by any real qua…
Newton polygon stratification of the Torelli locus in PEL-type Shimura varieties
Wanlin Li, Elena Mantovan, Rachel Pries +1
We study the intersection of the Torelli locus with the Newton polygon stratification of the modulo reduction of certain PEL-type Shimura varieties. We develop a clutching meth…
Newton Polygons Arising for Special Families of Cyclic Covers of the Projective Line
Wanlin Li, Elena Mantovan, Rachel Pries +1
By a result of Moonen, there are exactly 20 positive-dimensional families of cyclic covers of the projective line for which the Torelli image is open and dense in the associated Sh…
Newton polygons of cyclic covers of the projective line branched at three points
Wanlin Li, Elena Mantovan, Rachel Pries +1
We review the Shimura-Taniyama method for computing the Newton polygon of an abelian variety with complex multiplication. We apply this method to cyclic covers of the projective li…