3 papers
math.AG2026
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…
math.AG2025
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…
math.GT2025
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…