Samuele Mongodi

activity

20122025

most citedA low rank property and nonexistence of higher dimensional horizontal Sobolev sets

2 citations · 4 across the 11 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CV2021

The core of the Levi distribution

Gian Maria Dall'Ara, Samuele Mongodi

We introduce a new geometrical invariant of CR manifolds of hypersurface type, which we dub the "Levi core" of the manifold. When the manifold is the boundary of a smooth bounded p…

math.DS2021

Birational properties of tangent to the identity germs without non-degenerate singular directions

Samuele Mongodi, Matteo Ruggiero

We provide a family of isolated tangent to the identity germs $f : (C^{3}, 0) \to (C^{3}, 0)$ which possess only degenerate characteristic directions, and for which the l…

math.CV2021

On minimal kernels and Levi currents on weakly complete complex manifolds

Fabrizio Bianchi, Samuele Mongodi

A complex manifold $X$ is \emph{weakly complete} if it admits a continuous plurisubharmonic exhaustion function $ϕ$ . The minimal kernels $Σ_{X}^{k}, k \in [0, \infty]$ (the loci where a…