44 citations · 260 across the 25 of their papers we have counts for
4 papers · 1 filter
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…
The degeneration formula for logarithmic expanded degenerations
Qile Chen
We define a notion of logarithmic stable maps based on Bumsig Kim's construction. Then we prove a degeneration formula under this setting by applying the method develeoped by Dan A…
Stable logarithmic maps to Deligne-Faltings pairs I
Qile Chen
We introduce a new compactification of the space of relative stable maps. This new method uses logarithmic geoemtry in the sense of Kato-Fontaine-Illusie rather than the expanded d…
Logarithmic Geometry and Moduli
Dan Abramovich, Qile Chen, Danny Gillam +4
We discuss the role played by logarithmic structures in the theory of moduli.