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math.NT2014
Galois action on the homology of Fermat curves
Rachel Davis, Rachel Pries, Vesna Stojanoska +1
In his paper titled "Torsion points on Fermat Jacobians, roots of circular units and relative singular homology", Anderson determines the homology of the degree Fermat curve as…
math.AG2014
Abhyankar's conjectures in Galois theory: Current status and future directions
David Harbater, Andrew Obus, Rachel Pries +1
In this paper, we survey the major contributions of Abhyankar to the development of the theory of fundamental groups and Galois covers in positive characteristic. We first discuss…
math.NT2014
Superspecial rank of supersingular abelian varieties and Jacobians
Jeff Achter, Rachel Pries
An abelian variety defined over an algebraically closed field k of positive characteristic is supersingular if it is isogenous to a product of supersingular elliptic curves and is…