Berkovich spaces embed in Euclidean spaces

It will be shown below that the Hamiltonian vector field X f obtained through the symplectic structure on the space of frame-periodic horizontal-Darboux curves leads to

The ~-product EeF, of two locally convex spaces E, F is the space of all continuous linear maps from to F endowed with the topology of uniform convergence.. on the

To show that the exotic isometry flow of W 2 ( R ) is exceptional, let us consider the higher-dimensional case : there are isometries of W 2 ( R n ) that fix pointwise the set of

— The fact that certain spaces of real-valued sequences or functions do not possess a certain kind of mean is proved by constructing non-trivial additive cocycles satisfying

It gives a brief overview of results and methods of recent works [2] and [5] on the structure of wild coverings of Berkovich curves and its relation to the different and

This paper is built on the following observation: the purity of the mixed Hodge structure on the cohomology of Brown’s moduli spaces is essentially equivalent to the freeness of

In non-archimedean geometry (in the sence of Berkovich), we a priori have a structure sheaf which is the analogy of the sheaf of holomorphic functions.. Apply- ing the

We extend field patching to the setting of Berkovich analytic geometry and use it to prove a local-global principle over function fields of analytic curves with respect to