5 citations · 9 across the 7 of their papers we have counts for
8 papers
On the arithmetic and geometry of spaces
Michel Matignon, Guillaume Pagot, Daniele Turchetti
Let be a prime number. Motivated by the local lifting problem for with , we prove several new results on certain -vector spaces…
Stabilization indices of potentially Mumford curves
Andrew Obus, Daniele Turchetti
Let be a smooth projective curve over a complete discretely valued field . Let be the minimal extension such that has a semi-stable model, and write $e(…
Schottky spaces and universal Mumford curves over
Jérôme Poineau, Daniele Turchetti
For every integer we define a universal Mumford curve of genus in the framework of Berkovich spaces over . This is achieved in two steps: first, we build…
Berkovich curves and Schottky uniformization
Jérôme Poineau, Daniele Turchetti
This text is an exposition of non-Archimedean curves and Schottky uniformization from the point of view of Berkovich geometry. It consists of two parts, the first one of an introdu…
Triangulations of non-archimedean curves, semi-stable reduction, and ramification
Lorenzo Fantini, Daniele Turchetti
Let be a complete discretely valued field with algebraically closed residue field and let be a smooth projective and geometrically connected algebraic -curve o…
Galois descent of semi-affinoid spaces
Lorenzo Fantini, Daniele Turchetti
We study the Galois descent of semi-affinoid non-archimedean analytic spaces. These are the non-archimedean analytic spaces which admit an affine special formal scheme as model ove…
Equidistant liftings of elementary abelian Galois covers of curves
Daniele Turchetti
In this paper, we discuss the local lifting problem for the action of elementary abelian groups. Studying logarithmic differential forms linked to deformations of -torsors…
Weil representations and metaplectic groups over an integral domain
Gianmarco Chinello, Daniele Turchetti
Given F a locally compact, non-discrete, non-archimedean field of characteristic different from 2 and R an integral domain such that a non-trivial smooth F-character with values in…