4 papers
Zeta statistics and Hadamard functions
Margaret Bilu, Ronno Das, Sean Howe
We introduce the Hadamard topology on the Witt ring of rational functions, giving a simultaneous refinement of the weight and point-counting topologies. Zeta functions of algebraic…
Arithmetic statistics on cubic surfaces
Ronno Das
In this paper we compute the distributions of various markings on smooth cubic surfaces defined over the finite field , for example the distribution of pairs of point…
Cohomology of the universal smooth cubic surface
Ronno Das
We compute the rational cohomology of the universal family of smooth cubic surfaces using Vassiliev's method of simplicial resolution. Modulo embedding, the universal family has co…
The space of cubic surfaces equipped with a line
Ronno Das
The Cayley--Salmon theorem implies the existence of a 27-sheeted covering space specifying lines contained in smooth cubic surfaces over . In this paper we compute the…