3 papers
math.RT2025
A sphere of spherical objects
Asilata Bapat, Anand Deopurkar, Anthony M. Licata
Given a Bridgeland stability condition on a 2-Calabi--Yau category, we define a simplicial complex that encodes the Harder--Narasimhan filtrations of spherical objects. For 2-Calab…
math.AG2025
Compactifications of moduli spaces of K3 surfaces with a higher-order nonsymplectic automorphism
Valery Alexeev, Anand Deopurkar, Changho Han
We describe Baily-Borel, toroidal, and geometric -- using the KSBA stable pairs -- compactifications of some moduli spaces of K3 surfaces with a nonsymplectic automorphism of order…
math.AG2024
Counting 3-uple Veronese surfaces
Anand Deopurkar, Anand Patel
This paper culminates in the count of the number of 3-Veronese surfaces passing through 13 general points. This follows the case of 2-Veronese surfaces discovered by Coble in the 1…