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math.AG2022
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…
math.AG2022
Lines highly tangent to a hypersurface
Anand Patel, Eric Riedl, Geoffrey Smith +1
We study spaces of lines that meet a smooth hypersurface X in P^n to high order. As an application, we give a polynomial upper bound on the number of planes contained in a smooth d…
math.AG2022
Bounding Pinch Point Schemes of Projected Surfaces
Adam Cartisano, Anand Patel
Let be a smooth surface and let , with , be a finitely ramified map which is birational onto its image , with non-degenerate in $\mat…