19 citations · 56 across the 16 of their papers we have counts for
Showing math.AGShow all
3 papers · 1 filter
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.AG2016★ 19 cited
Rational curves on smooth hypersurfaces of low degree
Tim Browning, Pankaj Vishe
We study the family of rational curves on arbitrary smooth hypersurfaces of low degree using tools from analytic number theory.
math.AG2015★ 2 cited
Rational curves on smooth cubic hypersurfaces over finite fields
Tim Browning, Pankaj Vishe
Let k be a finite field with characteristic exceeding 3. We prove that the space of rational curves of fixed degree on any smooth cubic hypersurface over k with dimension at least…