Arc-meromorphous functions
Volume 127 / 2021
Annales Polonici Mathematici 127 (2021), 51-62
MSC: 14P10, 14P20, 32B10, 58A07.
DOI: 10.4064/ap200517-7-8
Published online: 30 September 2020
Abstract
We introduce arc-meromorphous functions, which are continuous functions representable as quotients of semialgebraic arc-analytic functions, and develop the theory of arc-meromorphous sheaves on Nash manifolds. Our main results are Cartan’s theorems A and B for quasi-coherent arc-meromorphous sheaves.
