2 citations · 3 across the 5 of their papers we have counts for
6 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…
Local-global principle for 11-isogenies of elliptic curves is true over quadratic fields
Stevan Gajović, Jeroen Hanselman, Angelos Koutsianas
In this paper, we prove that the local-global principle of -isogenies for elliptic curves over quadratic fields does not fail. This gives a positive answer to a conjecture by B…
Equations of genus curves from their theta constants
Jeroen Hanselman, Andreas Pieper, Sam Schiavone
In this article we give explicit formulas for the equations of a generic genus curve in terms of its theta constants. The method uses the Prym construction and the beautiful cl…
Research-Data Management Planning in the German Mathematical Community
Tobias Boege, René Fritze, Christiane Görgen +13
In this paper we discuss the notion of research data for the field of mathematics and report on the status quo of research-data management and planning. A number of decentralized a…
Gluing curves of genus 1 and 2 along their 2-torsion
Jeroen Hanselman, Sam Schiavone, Jeroen Sijsling
Let (resp. ) be a curve of genus 1 (resp. 2) over a base field whose characteristic does not equal 2. We give criteria for the existence of a curve over whose Ja…
Ranks, -Selmer groups, and Tamagawa numbers of elliptic curves with -torsion
Stephanie Chan, Jeroen Hanselman, Wanlin Li
In 2016, Balakrishnan-Ho-Kaplan-Spicer-Stein-Weigandt produced a database of elliptic curves over ordered by height in which they computed the rank, the size of the $2…