42 citations · 65 across the 4 of their papers we have counts for
4 papers · 1 filter
Plane -curves on the complement of strange rational curves
Qile Chen, Ryan Contreras
A plane curve is called strange if its tangent line at any smooth point passes through a fixed point, called the strange point. In this paper, we study -curves on the…
Skeletons and fans of logarithmic structures
Dan Abramovich, Qile Chen, Steffen Marcus +2
We survey a collection of closely related methods for generalizing fans of toric varieties, include skeletons, Kato fans, Artin fans, and polyhedral cone complexes, all of which ap…
Stable logarithmic maps to Deligne--Faltings pairs II
Dan Abramovich, Qile Chen
We make an observation which enables one to deduce the existence of an algebraic stack of log maps for all generalized Deligne--Faltings log structures (in particular simple normal…
The Evaluation Space of Logarithmic Stable Maps
Dan Abramovich, Qile Chen, William D. Gillam +1
The evaluation stack for minimal logarithmic stable maps is constructed, parameterizing families of standard log points in the target log scheme. This construction provides the ing…