arXiv subjects

João N. P. Lourenço

Publications and source records attributed to João N. P. Lourenço.

2 recordsLinked to original sources

arXiv2017

The Riemannian Hebbarkeitssätze for pseudorigid spaces

We prove Riemann's theorems on extensions of functions over certain mixed characteristic analytic adic spaces, first introduced by Johansson and Newton. We use these results to reprove a theorem of de Jong identifying global sections of an $\mathcal{O}_K$-flat normal formal scheme, locally formally of finite type over $\mathcal{O}_K$, with locally powerbounded sections over the generic fibre.

math.AG↗

arXiv2015

A multiparameter family of irreducible representations of the quantum plane and of the quantum Weyl algebra

We construct a family of irreducible representations of the quantum plane and of the quantum Weyl algebra over an arbitrary field, assuming the deformation parameter is not a root of unity. We determine when two representations in this family are isomorphic, and when they are weight representations, in the sense of Bavula.

math.RT↗