3 papers
math.AG2024
Rational curves on complete intersections and the circle method
Tim Browning, Pankaj Vishe, Shuntaro Yamagishi
We study the geometry of the space of rational curves on smooth complete intersections of low degree, which pass through a given set of points on the variety. The argument uses spr…
math.NT2021
On the Hasse principle for complete intersections
Matthew Northey, Pankaj Vishe
We prove the Hasse principle for a smooth projective variety $X\subset \PP^{n-1}_\Q$ defined by a system of two cubic forms as long as . The main tool here is the d…
math.NT2012
A Fast Algorithm to Compute l(1/2, f x χ_q)
Pankaj Vishe
Let be a fixed (holomorphic or Maass) modular cusp form. Let $\cq$ be a Dirichlet character mod . We describe a fast algorithm that computes the value up…