2 papers
math.AG2025
Stable cohomology of universal character varieties
Ishan Banerjee, Faye Jackson, Anne Larsen +2
We study the universal PGL_n character variety over M_g whose fiber over a point [C] is the space of PGL_n-local systems on the curve C. We use nonabelian Hodge theory and properti…
math.AG2024
Error terms for the motives of discriminant complements and a Cayley-Bacharach theorem
Ishan Banerjee
In this paper we prove under some simplifying hypotheses questions of Picoco and Levinson-Ullery on Cayley-Bacharach sets. Our results imply that, under suitable hypotheses Cayley-…