3 papers
math.AG2026
A correlated refinement of the double double ramification cycle
Thomas Blomme, Francesca Carocci, Ajith Urundolil Kumaran
Given a family of semi-stable curves together with two degree 0 line bundles, the double double ramification cycle measures the locus where both line bundles are trivial on the fib…
math.AG2026
Refined curve counting with descendants and quantum mirrors
Patrick Kennedy-Hunt, Qaasim Shafi, Ajith Urundolil Kumaran
Given a log Calabi--Yau surface , Bousseau has constructed a quantization of the mirror algebra of this pair. We give a formula for structure constants of this quantization…
math.AG2025
Chow ring of the stack of plane nodal curves
Alessio Cela, Ajith Urundolil Kumaran, Xiaohan Yan
We compute the rational Chow ring of the moduli stack of planar nodal curves of fixed degree and express it in terms of tautological classes. Along the way, we extend Vial's result…