4 papers · 1 filter
Cohomology ring of the strata of holomorphic differentials of genus 3
Prabhat Devkota, Myeongjae Lee
We prove that the rational Chow ring of every connected component of the multi-scale compactifications of the genus three strata and $\mathcal{H}…
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…
Multiscale differentials and wonderful models
Prabhat Devkota, Antonios-Alexandros Robotis, Adrian Zahariuc
We study the relationships between several varieties parametrizing marked curves with differentials in the literature. More precisely, we prove that the space of mu…
Cohomology of Moduli Space of Multiscale Differentials in Genus 0
Prabhat Devkota
We prove that the rational cohomology ring of moduli space of multiscale differentials in genus 0 is generated by the boundary divisors. The main idea is the technique of the Chow-…