3 citations · 4 across the 4 of their papers we have counts for
10 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…
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…
The rank two -curvature conjecture on generic curves
Anand Patel, Ananth N. Shankar, Junho Peter Whang
We prove the -curvature conjecture for rank two vector bundles with connection on generic curves, by combining deformation techniques for families of varieties and topological a…
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…
Orbits in and equivariant quantum cohomology
Mitchell Lee, Anand Patel, Hunter Spink +1
We compute the -equivariant Chow class of the -orbit closure of any point in terms of the rank polytope of the matroid…