5 citations · 9 across the 9 of their papers we have counts for
6 papers · 1 filter
Deep Learning of Topological Equivalence Classes
Linden Disney-Hogg, Max Zuev
We demonstrate an application of deep learning to the problem of identifying whether two generating vectors correspond to topologically equivalent finite group actions on Riemann s…
The Parity of Invariant Characteristics
Linden Disney-Hogg
We demonstrate a method to prove that a theta characteristic on Riemann surface invariant under the action of has even parity by considering the repres…
Explicit Homology Representation for Finite Groups Acting on Riemann Surfaces
S. Allen Broughton, Linden Disney-Hogg
Given a finite group acting orientably on a surface of genus , the group acts faithfully on the homology group , preserving the symplectic…
Orbits of Theta Characteristics
H. W. Braden, Linden Disney-Hogg
The theta characteristics on a Riemann surface are permuted by the induced action of the automorphism group, with the orbit structure being important for the geometry of the curve…
Bring's curve: Old and New
H. W. Braden, Linden Disney-Hogg
Bring's curve, the unique Riemann surface of genus-4 with automorphism group , has many exceptional properties. We review, give new proofs of, and extend a number of these inc…
An English translation of A. Wiman's "On the algebraic curves of genus , and , which posses unambiguous transformations into themselves"
Linden Disney-Hogg, Andrew Beckett, Isabella Deutsch
This is an English translation of the paper "Ueber die algebraischen Curven von den Geschlechtern , und , welche eindeutigen Transformationen in sich besitzen" by And…