20 citations · 61 across the 20 of their papers we have counts for
4 papers · 1 filter
Moduli of fibered surface pairs from twisted stable maps
Kenneth Ascher, Dori Bejleri
We use the theory of twisted stable maps to Deligne-Mumford stacks to construct compactifications of the moduli space of pairs where is a fibered surfa…
Log canonical models of elliptic surfaces
Kenneth Ascher, Dori Bejleri
We give a classification of the log canonical models of elliptic surface pairs consisting of an elliptic fibration, a section, and a weighted sum of marked fibers. In particular, w…
Bounding heights uniformly in families of hyperbolic varieties
Kenneth Ascher, Ariyan Javanpeykar
We show that, assuming Vojta's height conjecture, the height of a rational point on an algebraically hyperbolic variety can be bounded "uniformly" in families. This generalizes a r…
A Generic Slice of the Moduli Space of Line Arrangements
Kenneth Ascher, Patricio Gallardo
We study the compactification of the locus parametrizing lines with a fixed intersection to a given line, inside the moduli space of line arrangements in the projective plane const…