11 citations · 38 across the 17 of their papers we have counts for
20 papers
Scheme theory for commutative semirings
Roberto Gualdi, Arne Kuhrs, Mayo Mayo Garcia +1
In this survey, we describe two different approaches to constructing affine schemes for commutative semirings: one based on prime ideals, and another based on prime kernels (also c…
Efficient computation of non-archimedean theta functions
Marc Masdeu, Xavier Xarles
We describe an efficient iterative algorithm for the computation of theta functions of non-archimedean Schottky groups and, more generally, of (non-archimedean) discontinuous group…
Condensed Sets via free resolutions
Damià Rodríguez Banús, Xavier Xarles
We show the equivalence of several constructions of the category of condensed sets by using free resolutions of compact Hausdorff spaces. We also give an elementary construction of…
A quaternionic construction of -adic singular moduli
Xavier Guitart, Marc Masdeu, Xavier Xarles
Rigid meromorphic cocycles were introduced by Darmon and Vonk as a conjectural -adic extension of the theory of singular moduli to real quadratic base fields. They are certain c…
A census of all genus 4 curves over the field with 2 elements
Xavier Xarles
We explain how we computed equations for all genus 4 curves defined of the field with 2 elements, up-to-isomorphism, and some of the data we obtained. We give descriptions also of…
Hyperelliptic parametrizations of -curves
Francesc Bars, Josep González, Xavier Xarles
For a square-free integer , we present a procedure to compute -curves parametrized by rational points of the modular curve when this is hyperelliptic.