10 citations · 31 across the 20 of their papers we have counts for
6 papers · 1 filter
Recovering affine curves over finite fields from -functions
Jeremy Booher, José Felipe Voloch
Let be the function field of a curve over a finite field of odd characteristic. We investigate using -functions of Galois extensions of to effectively recover . When…
G-Valued Crystalline Deformation Rings in the Fontaine-Laffaille Range
Jeremy Booher, Brandon Levin
Let be a split reductive group over the ring of integers in a -adic field with residue field . Fix a representation of the absolute Galois group of…
Tamely Ramified Covers of the Projective Line with Alternating and Symmetric Monodromy
Renee Bell, Jeremy Booher, William Y. Chen +1
Let be an algebraically closed field of characteristic and let the projective line over with three points removed. We investigate which finite groups can arise…
Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic
Jeremy Booher, Rachel Pries
Suppose is a smooth projective connected curve defined over an algebraically closed field of characteristic and is a finite, possibly empty, set of p…
Recovering algebraic curves from L-functions of Hilbert class fields
Jeremy Booher, José Felipe Voloch
In this paper, we prove that a smooth hyperbolic projective curve over a finite field can be recovered from L-functions associated to the Hilbert class field of the curve and its c…
Realizing Artin-Schreier Covers with Minimal -numbers in Positive Characteristic
Fiona Abney-McPeek, Hugo Berg, Jeremy Booher +8
Suppose is a smooth projective connected curve defined over an algebraically closed field of characteristic and is a finite, possibly empty, set of points.…