10 citations · 30 across the 7 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.AG2013★ 3 cited
Separated Belyi Maps
Zachary Scherr, Michael E. Zieve
We construct Belyi maps having specified behavior at finitely many points. Specifically, for any curve C defined over Q-bar, and any disjoint finite subsets S, T in C(Q-bar), we co…
math.NT2013
Abelian surfaces over finite fields with prescribed groups
Chantal David, Derek Garton, Zachary Scherr +3
Let A be an abelian surface over F_q, the field of q elements. The rational points on A/\F_q form an abelian group A(\F_q) \simeq \Z/n_1\Z \times \Z/n_1 n_2 \Z \times \Z/n_1 n_2 n_…
math.CO2013★ 10 cited
Some planar monomials in characteristic 2
Zachary Scherr, Michael E. Zieve
Planar functions over finite fields give rise to finite projective planes and other combinatorial objects. They were originally defined only in odd characteristic, but recently Zho…