Dawei Chen

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math.AG2026

Isoresidual curves

Dawei Chen, Quentin Gendron, Miguel Prado +1

Given a partition $I^¼$ of $- 2$ , the stratum $H (I^¼)$ parametrizes meromorphic differential one-forms on the Riemann sphere $CP^{1}$ with~ $n$ zeros and $p$ poles o…

math.AG2026

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…

math.AG2025

Finite isoresidual covers in strata of $k$ -differentials

Dawei Chen, Quentin Gendron, Miguel Prado +1

Consider the strata of primitive $k$ -differentials on the Riemann sphere whose singularities, except for two, are poles of order divisible by $k$ . The map that assigns to each $k$ -…

math.AG2025

Connectedness of the boundaries of the strata of differentials

Dawei Chen

Let $P (I^¼)^{\circ}$ be a connected component of the projectivized stratum of differentials on smooth complex curves, where the zero and pole orders of the differentials a…

Isoresidual curves

Independence of tautological classes and cohomological stability for strata of differentials

Finite isoresidual covers in strata of k-differentials

Connectedness of the boundaries of the strata of differentials

Finite isoresidual covers in strata of $k$ -differentials