1 citations · 1 across the 3 of their papers we have counts for
5 papers
Mumford-type Shimura curves contained in the Torelli locus
Thomas Bouchet, Jeroen Hanselman, Andreas Pieper +1
In this article we give explicit equations for two Shimura families of genus 4 curves whose Jacobians are abelian fourfolds of Mumford type. These are the first explicit examples o…
Heuristics for (ir)reducibility of -rank strata of the moduli space of hyperelliptic curves
Thomas Bouchet, Erik Davis, Steven R. Groen +2
Let denote the moduli space of smooth hyperelliptic curves of genus in characteristic , and let denote the -rank stratum of $\…
Reconstruction of hypersurfaces from their invariants
Thomas Bouchet
Let be a field of characteristic . We present an explicit algorithm that, given the invariants of a generic homogeneous polynomial under the linear action of $\mathrm{GL…
Invariants of genus 4 curves
Thomas Bouchet
The present paper gives an explicit classification of the isomorphism classes of non-hyperelliptic genus 4 curves over an algebraically closed field of characteristic 0. A non-hype…
Functionality for isomorphism classes of curves and hypersurfaces
Thomas Bouchet, Reynald Lercier, Jeroen Sijsling +1
We describe algorithms based on invariant theory to solve problems on the geometry of curves, mainly those of genus 2, 3 and 4. New theoretical results building on the first author…