3 papers
math.AG2026
Non-trivial and Non-tautological Cohomology of Strata of Differentials
Dawei Chen, Prabhat Devkota, Samuel Grushevsky +1
In this paper we construct various non-trivial and non-tautological cohomology classes on compactified and uncompactified strata of curves with a differential, by using the geometr…
math.AG2025
The Kodaira dimension of even spin strata of Abelian differentials
Andrei Bud, Dawei Chen, Martin Möller
The even spin components of the strata of Abelian differentials are difficult to handle from a birational geometry perspective due to the fact that their spin line bundles have mor…
math.GT2025
Area Siegel--Veech constants for affine invariant submanifolds of REL zero
Dawei Chen, Elise Goujard, Martin Möller
We describe the principal boundary of an arbitrary affine invariant submanifold of REL zero in terms of level graphs of the multi-scale compactification of strata of Abelian differ…