7 citations · 15 across the 9 of their papers we have counts for
11 papers
Frobenius actions on Del Pezzo surfaces of degree 2
Olof Bergvall
We determine the number of Del Pezzo surfaces of degree 2 over finite fields of odd characteristic with specified action of the Frobenius endomorphism, i.e. we solve the "quantitat…
Explicit Moduli of Superelliptic Curves with Level Structure
Olof Bergvall, Oliver Leigh
In this article we give an explicit construction of the moduli space of trigonal superelliptic curves with level 3 structure. The construction is given in terms of point sets on th…
Arithmetic and topology of classical structures associated to plane quartics
Olof Bergvall
We consider moduli spaces of plane quartics marked with various structures such as Cayley octads, Aronhold heptads, Steiner complexes and Göpel subsets and determine their cohomolo…
Seven points in general linear position
Olof Bergvall
We determine the cohomology groups of the space of seven points in general linear position as representations of the symmetric group on seven elements by making equivariant point c…
Relations in the Tautological Ring of the Universal Curve
Olof Bergvall
We bound the dimensions of the graded pieces of the tautological ring of the universal curve from below for genus up to 27 and from above for genus up to 9. As a consequence we obt…
Cohomology of the toric arrangement associated with
Olof Bergvall
We compute the total cohomology of the complement of the toric arrangement associated to the root system as a representation of the corresponding Weyl group via fixed point t…
Cohomology of moduli spaces of Del Pezzo surfaces
Olof Bergvall, Frank Gounelas
We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree three and four as representations of the Weyl group…
The equivariant Euler characteristic of
Jonas Bergström, Olof Bergvall
We compute the weighted Euler characteristic, equivariant with respect to the action of the symplectic group of degree six over the field of two elements, of the moduli space of pr…
Equivariant cohomology of moduli spaces of genus three curves with level two structure
Olof Bergvall
We compute cohomology of the moduli space of genus three curves with level two structure and some related spaces. In particular, we determine the cohomology groups of the moduli sp…
Equivariant Cohomology of the Moduli Space of Genus Three Curves with Symplectic Level Two Structure via Point Counts
Olof Bergvall
We make cohomological computations related to the moduli space of genus three curves with symplectic level two structure by means of counting points over finite fields. In particul…
Cohomology of Complements of Toric Arrangements Associated to Root Systems
Olof Bergvall
We compute the cohomology of the complement of toric arrangements associated to root systems as representations of the corresponding Weyl groups. Specifically, we develop an algori…