18 citations · 43 across the 9 of their papers we have counts for
8 papers · 1 filter
Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces
Jonas Bergström, Angelina Zheng
We compute the stable cohomology of moduli spaces of hyperelliptic curves of a fixed genus embedded on a fixed Hirzebruch surface. We also describe these moduli spaces of embedded…
Cohomology of moduli spaces via a result of Chenevier and Lannes
Jonas Bergström, Carel Faber
We use a classification result of Chenevier and Lannes for algebraic automorphic representations together with a conjectural correspondence with -adic absolute Galois represe…
Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves
Jonas Bergström, Carel Faber, Sam Payne
We compute the number of F_q-points on M_{4,n}, for n less than or equal to 3, and show that it is a polynomial in q, using a sieve based on Hasse-Weil zeta functions. As an applic…
On the Brauer group of bielliptic surfaces
Jonas Bergström, Eugenia Ferrari, Sofia Tirabassi +1
We provide explicit generators for the torsion of the second cohomology of bielliptic surfaces, and we use this to study pullback map between Brauer group of a bielliptic surface a…
On the cohomology of moduli spaces of (weighted) stable rational curves
Jonas Bergström, Satoshi Minabe
We give a recursive algorithm for computing the character of the cohomology of the moduli space $\Mmb_{0,n}$ of stable -pointed genus zero curves as a representation of the symm…
Siegel modular forms of degree three and the cohomology of local systems
Jonas Bergström, Carel Faber, Gerard van der Geer
We give an explicit conjectural formula for the motivic Euler characteristic of an arbitrary symplectic local system on the moduli space A_3 of principally polarized abelian threef…
On the cohomology of the Losev-Manin moduli space
Jonas Bergström, Satoshi Minabe
We determine the cohomology of the Losev-Manin moduli space of pointed genus zero curves as a representation of the product of symmetric groups.
The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three
Jonas Bergström, Gerard van der Geer
We show how to calculate the Euler characteristic of a local system associated to an irreducible representation of the symplectic group of genus 3 on the moduli space of curves of…