We study the-rank stratification of the moduli space, which represents-covers in
characteristic whose-subcovers have conductor. In particular, we identify the irreducible …

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 Shimura …

This paper contains a method to prove the existence of smooth curves in positive
characteristic whose Jacobians have unusual Newton polygon. Using this method, I give a …

Abstract 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 …

We describe the intersection of the Torelli locus $ j (\mathcal {M} _4^{ct})=\mathcal {J} _4 $
with Newton and Ekedahl-Oort strata related to the supersingular locus in characteristic 2 …

This paper contains a method to prove the existence of smooth curves in positive
characteristic whose Jacobians have unusual Newton polygons. Using this method, I give a …

Let A be an abelian variety over a finite field k with| k|= q= pm. Let π∈ End k (A) denote the
Frobenius and let v= q π− 1 denote Verschiebung. Suppose the Weil q-polynomial of A is …

The topic of this thesis is curves in characteristic p> 0. Curves and abelian varieties in
positive characteristic behave quite differently from their counterparts in characteristic zero …

Let p be a prime and let q= pn, with n≥ 1 an odd integer. We describe a method for the
construction of characteristic polynomials of simple non-ordinary abelian varieties of …

Let p be an odd prime. What are the possible Newton polygons for a curve in characteristic
p? Equivalently, which Newton strata intersect the Torelli locus in Ag? In this note, we study …