6 citations · 12 across the 6 of their papers we have counts for
8 papers
Discrete and metric divisorial gonality can be different
Josse van Dobben de Bruyn, Harry Smit, Marieke van der Wegen
This paper compares the divisorial gonality of a finite graph to the divisorial gonality of the associated metric graph with unit lengths. We show that $\text…
The -rank of class groups of
Peter Koymans, Adam Morgan, Harry Smit
Let be a quadratic extension. In this paper we study the -rank of the class group , where varies over squarefree rational integers. We…
Constructing Tree Decompositions of Graphs with Bounded Gonality
Hans L. Bodlaender, Josse van Dobben de Bruyn, Dion Gijswijt +1
In this paper, we give a constructive proof of the fact that the treewidth of a graph is at most its divisorial gonality. The proof gives a polynomial time algorithm to construct a…
L-series and homomorphisms of number fields
Harry Smit
While the zeta function does not determine a number field uniquely, the -series of a well-chosen Dirichlet character does. Moreover, isomorphisms between two number fields are i…
L-series and isogenies of abelian varieties
Harry Smit
Faltings's isogeny theorem states that two abelian varieties are isogenous over a number field precisely when the characteristic polynomials of the reductions at almost all prime i…
L-series and isomorphisms of number fields
Harry Smit
Two number fields with equal Dedekind zeta function are not necessarily isomorphic. However, if the number fields have equal sets of Dirichlet -series then they \emph{are} isomo…
Reconstructing global fields from dynamics in the abelianized Galois group
Gunther Cornelissen, Xin Li, Matilde Marcolli +1
We study a dynamical system induced by the Artin reciprocity map for a global field. We translate the conjugacy of such dynamical systems into various arithmetical properties that…
Reconstructing global fields from Dirichlet L-series
Gunther Cornelissen, Bart de Smit, Xin Li +2
We prove that two global fields are isomorphic if and only if there is an isomorphism of groups of Dirichlet characters that preserves L-series.