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
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-…
math.AG2025
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…