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math.CT2023
A result of Krasner in categorial form
Alessandro Linzi
In 1957 M.\ Krasner described a complete valued field via the projective limit of a system of certain structures, called hyperfields, associated to . We put this res…
math.AG2023
On projective spaces over local fields
Nicolò Cangiotti, Alessandro Linzi
Let be the set of points of a finite-dimensional projective space over a local field , endowed with the topology naturally induced from the canonical topology…
math.AC2023
Notes on valuation theory for Krasner hyperfields
Alessandro Linzi
The main aim of this article is to study and develop valuation theory for Krasner hyperfields. In analogy with classical valuation theory for fields, we generalise the formalism of…