44 citations · 260 across the 25 of their papers we have counts for
4 papers · 1 filter
-connected varieties over non-closed fields
Qile Chen, Yi Zhu
In this paper, we proved two results regarding the arithmetics of separably -connected varieties of rank one. First we proved over a large field, there is an $\mathbb…
On the irreducibility of the space of genus zero stable log maps to wonderful compactifications
Qile Chen, Yi Zhu
In this paper, we prove the moduli spaces of genus zero stable log maps to a large class of wonderful compactifications are irreducible and unirational.
Boundedness of the space of stable logarithmic maps
Dan Abramovich, Qile Chen, Steffen Marcus +1
We prove that the moduli space of stable logarithmic maps with fixed numerical invariants, from logarithmic curves to a fixed projective target logarithmic scheme with fine and sat…
-curves on log smooth varieties
Qile Chen, Yi Zhu
In this paper, we study -connected varieties from log geometry point of view, and prove a criterion for -connectedness. As applications, we provide many…