1 citations · 1 across the 2 of their papers we have counts for
4 papers · 1 filter
Uniform Manin-Mumford for a family of genus 2 curves
Laura DeMarco, Holly Krieger, Hexi Ye
We introduce a general strategy for proving quantitative and uniform bounds on the number of common points of height zero for a pair of inequivalent height functions on $\mathbb{P}…
Arboreal representations for rational maps with few critical points
Jamie Juul, Holly Krieger, Nicole Looper +3
Jones conjectures the arboreal representation of a degree two rational map will have finite index in the full automorphism group of a binary rooted tree except under certain condit…
Bounded height in families of dynamical systems
Laura DeMarco, Dragos Ghioca, Holly Krieger +3
Let a and b be algebraic numbers such that exactly one of a and b is an algebraic integer, and let f_t(z):=z^2+t be a family of polynomials parametrized by t. We prove that the set…
Some consequences of Schanuel's Conjecture
Chuangxun Cheng, Brian Dietel, Mathilde Herblot +6
During the Arizona Winter School 2008 (held in Tucson, AZ) we worked on the following problems: a) (Expanding a remark by S. Lang). Define Inductively…