3 papers
math.AG2025
Homological stability and Manin's conjecture for rational curves on quartic del Pezzo surfaces
Ronno Das, Brian Lehmann, Sho Tanimoto +1
We prove a version of Manin's conjecture (over for large) and the Cohen--Jones--Segal conjecture (over ) for maps from rational curves to split qua…
math.AT2024
Homology of spaces of curves on blowups
Ronno Das, Philip Tosteson
We consider the space of holomorphic maps from a compact Riemann surface to a projective space blown up at finitely many points. We show that the homology of this mapping space equ…
math.AT2023
Homological stability for the space of hypersurfaces with marked points
Alexis Aumonier, Ronno Das
We study the space of smooth marked hypersurfaces in a given linear system. Specifically, we prove a homology h-principle to compare it with a space of sections of an appropriate j…