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math.AG2021
A Universal Formula For Counting Cubic Surfaces
Anand Deopurkar, Anand Patel, Dennis Tseng
Using equivariant geometry, we find a universal formula that computes the number of times a general cubic surface arises in a family. As applications, we show that the PGL(4) orbit…
math.RT2021
Spherical objects and stability conditions on 2-Calabi--Yau quiver categories
Asilata Bapat, Anand Deopurkar, Anthony M. Licata
Consider a 2-Calabi--Yau triangulated category with a Bridgeland stability condition. We devise an effective procedure to reduce the phase spread of an object by applying spherical…