James Upton

activity

20182024

most citedNewton Polygons of Sums on Curves I: Local-to-Global Theorems

1 citations · 1 across the 7 of their papers we have counts for

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math.NT2024

Iwasawa theory of Frobenius-torsion class group schemes

Jeremy Booher, Bryden Cais, Joe Kramer-Miller +1

We establish a new Iwasawa theory for the kernel of Frobenius on Jacobians of curves in geometric $Z_{p}$ -towers over the projective line in characteristic $p$ , thereby prov…

math.NT2024

Higher a-numbers in $Z_{p}$ -towers via Counting Lattice Points

Jeremy Booher, Jack Hsieh, Rakesh Rivera +3

Booher, Cais, Kramer-Miller and Upton study a class of $Z_{p}$ -tower of curves in characteristic $p$ with ramification controlled by an integer $d$ . In the special case that…

Iwasawa theory of Frobenius-torsion class group schemes

Higher a-numbers in Zp​-towers via Counting Lattice Points

Higher a-numbers in $Z_{p}$ -towers via Counting Lattice Points