6 papers
Parity of -differentials in genus zero and one
Dawei Chen, Evan Chen, Kenny Lau +2
Here we completely determine the spin parity of -differentials with prescribed zero and pole orders on Riemann surfaces of genus zero and one. This result was previously obtaine…
Complete subvarieties in the projectivized strata of meromorphic differentials
Dawei Chen, Guillaume Tahar
Here we give an explicit construction of a globally defined strictly plurisubharmonic function on projectivized strata of strictly meromorphic differentials with prescribed orders…
Gorenstein singularities with -action and moduli spaces of holomorphic differentials
Dawei Chen, Fei Yu
Given a holomorphic differential on a smooth complex algebraic curve, we associate to it a Gorenstein curve singularity with -action via a test configuration. This con…
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…
An algebro-geometric perspective on the topology of moduli spaces of differentials
Dawei Chen, Fei Yu
Differentials on Riemann surfaces correspond to translation surfaces with conical singularities, and affine transformations acting on them preserve the orders of these singularitie…
Relative period realization of holomorphic differentials with prescribed invariants
Dawei Chen, Gianluca Faraco
We provide a complete description of realizable relative period representations for holomorphic differentials on Riemann surfaces with prescribed orders of zeros and additional inv…