6 citations · 7 across the 5 of their papers we have counts for
7 papers
Orbits of linear series on the projective line
Anand Deopurkar, Anand Patel
We compute the equivariant fundamental class of the orbit closure of a linear series on the projective line. We also describe the boundary of the orbit closure and how the orbits s…
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…
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…
Anticanonical tropical cubic del Pezzos contain exactly 27 lines
Maria Angelica Cueto, Anand Deopurkar
The classical statement of Cayley-Salmon that there are 27 lines on every smooth cubic surface in P^3 fails to hold under tropicalization: a tropical cubic surface in TP^3 often co…
Ramification divisors of general projections
Anand Deopurkar, Eduard Duryev, Anand Patel
We study the ramification divisors of projections of a smooth projective variety onto a linear subspace of the same dimension. We prove that the ramification divisors vary in a max…
Syzygy divisors on Hurwitz spaces
Anand Deopurkar, Anand Patel
We describe a sequence of effective divisors on the Hurwitz space for dividing and compute their cycle classes on a partial compactification. These divisors ari…