Sur les courbes de Brody dans P^n(C)
We investigate Brody curves in the projective space from the point of view of Nevanlinna theory.
math.CV↗
arXiv subjects
Bernardo Freitas Paulo Da Costa
Publications and source records attributed to Bernardo Freitas Paulo Da Costa.
Deux exemples sur la dimension moyenne d'un espace de courbes de Brody
We study the mean dimension of the space of 1-Brody curves lying in two complex surfaces: first for Hopf surfaces, then for the projective plane minus a line. We show in the first case that the mean dimension is zero via a bound on the growth of meromorphic curves involving the logarithmic derivative lemma. In the second case, we show its positivity by lifting from the line to its complement a space of Brody curves of positive mean dimension containing deformations of an elliptic curve.
math.CV↗