44 citations · 95 across the 4 of their papers we have counts for
4 papers · 1 filter
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 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.