3 papers
math.NT2025
Selective Integration on Higher Adeles and the Euler Characteristic of Surfaces
Weronika Czerniawska, Ivan Fesenko
The space of two-dimensional geometric adeles of a surface is far from being a locally compact space and there is no translation countably additive invariant nontrivial measure on…
math.NT2022
Harmonic analysis approach to the relative Riemann-Roch theorem on global fields
Weronika Czerniawska
In this paper we generalize and put in a new light part of ``Fouier analysis on Number fields and Hecke's zeta function''[14] by Tate. We express the relative Euler characteristic…
math.NT2019
Adelic geometry on arithmetic surfaces II: completed adeles and idelic Arakelov intersection theory
Weronika Czerniawska, Paolo Dolce
We work with completed adelic structures on an arithmetic surface and justify that the construction under consideration is compatible with Arakelov geometry. The ring of completed…