5 papers
Non-asphericity of strata of genus-one differentials and stability spaces
Dawei Chen, Jingyin Huang, Yu Qiu +1
We show that when the number of zeros or poles is at least four, every connected component of the strata of differentials in genus one with prescribed zero and pole orders is not a…
Isoresidual curves
Dawei Chen, Quentin Gendron, Miguel Prado +1
Given a partition of , the stratum parametrizes meromorphic differential one-forms on the Riemann sphere with~ zeros and poles o…
Independence of tautological classes and cohomological stability for strata of differentials
Dawei Chen, Hannah Larson
The tautological rings of strata of differentials are known to be generated by divisor classes. In this paper, we give lower bounds on the degrees of relations among them, dependin…
Finite isoresidual covers in strata of -differentials
Dawei Chen, Quentin Gendron, Miguel Prado +1
Consider the strata of primitive -differentials on the Riemann sphere whose singularities, except for two, are poles of order divisible by . The map that assigns to each -…
Connectedness of the boundaries of the strata of differentials
Dawei Chen
Let be a connected component of the projectivized stratum of differentials on smooth complex curves, where the zero and pole orders of the differentials a…