3 papers
math.AG2026
Manin's conjecture for semi-integral curves and -connectedness
Qile Chen, Brian Lehmann, Sho Tanimoto
We explore log Manin's conjecture for integral points and its connections to -connectedness. We prove log Manin's conjecture for Campana rational curves and for $\math…
math.AG2026
Gorenstein contractions of multiscale differentials
Dawei Chen, Qile Chen
Multiscale differentials arise as limits of holomorphic differentials with prescribed zero orders on nodal curves. In this paper, we address the conjecture concerning Gorenstein co…
math.AG2025
Campana rational connectedness and weak approximation
Qile Chen, Brian Lehmann, Sho Tanimoto
Campana introduced a notion of Campana rational connectedness for Campana orbifolds. Given a Campana fibration over a complex curve, we prove that a version of weak approximation f…