8 citations · 15 across the 10 of their papers we have counts for
17 papers
On (2,2)-decomposable genus 4 Jacobians
Nils Bruin, Avinash Kulkarni
We consider the question of when a Jacobian of a curve of genus admits a -isogeny to two polarized dimension abelian varieties. We find that one of them must be a J…
A census of cubic fourfolds over
Asher Auel, Avinash Kulkarni, Jack Petok +1
We compute a complete set of isomorphism classes of cubic fourfolds over . Using this, we are able to compile statistics about various invariants of cubic fourfolds,…
A database of basic numerical invariants of Hilbert modular surfaces
Eran Assaf, Angelica Babei, Ben Breen +8
We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.
Nonarchimedean integral geometry
Peter Bürgisser, Avinash Kulkarni, Antonio Lerario
Let be a nonarchimedean local field of characteristic zero with valuation ring , for instance, and . We prove a general integral geometric f…
On intersections of symmetric determinantal varieties and theta characteristics of canonical curves
Avinash Kulkarni, Sameera Vemulapalli
From a block-diagonal tensor symmetric in the last two entries one obtains two varieties: an intersection of symmetric determinantal hypersurfaces…
Sixteen points in and the inverse Galois problem for del Pezzo surfaces of degree one
Avinash Kulkarni
A del Pezzo surface of degree one defined over the rationals has 240 exceptional curves. These curves are permuted by the action of the absolute Galois group. We show how a solutio…