3 papers
math.AG2026
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…
math.AG2024
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…
math.CT2024
Condensed Sets via free resolutions
Damià RodrÃguez 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…