6 citations · 22 across the 15 of their papers we have counts for
11 papers · 1 filter
Automorphism Groups on Tropical Curves: Some Cohomology Calculations
David Joyner, Amy Ksir, Caroline Grant Melles
Let be an abstract tropical curve and let be a finite subgroup of the automorphism group of . Let be a divisor on whose equivalence class is -invariant. We ad…
Automorphism groups of generalized Reed-Solomon codes
David Joyner, Amy Ksir, Will Traves
We look at AG codes associated to the projective line, re-examining the problem of determining their automorphism groups (originally investigated by Duer in 1987 using combinatoria…
Group representations on Riemann-Roch spaces of some Hurwitz curves
David Joyner, Amy Ksir, Roger Vogeler
Let q>1 denote an integer relatively prime to 2,3,7 and for which G=PSL(2,q) is a Hurwitz group for a smooth projective curve X defined over C. We compute the G-module structure of…
Modular representations on some Riemann-Roch spaces of modular curves X(N)
David Joyner, Amy Ksir
We compute the PSL(2,N)-module structure of the Riemann-Roch space L(D), where D is an invariant non-special divisor on the modular curve X(N), with N > 5 prime. This depends on a…
Automorphism groups of some AG codes
David Joyner, Amy Ksir
We show that in many cases, the automorphism group of a curve and the permutation automorphism group of a corresponding AG code are the same. This generalizes a result of Wesemeyer…
A Question about Pic(X) as a G-module
Daniel Goldstein, Robert M. Guralnick, David Joyner
Let G be a finite group acting faithfully on an irreducible non-singular projective curve defined over an algebraically closed field F. Does every G-invariant divisor class contain…