2 citations · 3 across the 5 of their papers we have counts for
5 papers
Hyperbolic polarized dynamics, pairs of inverse maps and the Dirichlet property
Jorge Pineiro
We explore some intersection properties of divisors associated to polarized dynamical systems on algebraic surfaces. As a consequence, we obtain necessary geometric conditions for…
Geometry of four-folds with three non-commuting involutions
Jorge Pineiro
In this paper we adapt some techniques developed for K3 surfaces, to study the geometry of a family of projective varieties in $\Pl_K^2 \times \Pl_K^2 \times \Pl_K^2$ defined as th…
A note on the projection of the diagonal subvariety
Jorge Pineiro
The diagonal subvariety on a product of two CM elliptic curves, is presented as an example of a dimension one subvariety, that is pre-periodic only if the respective projection on…
Canonical metrics of commuting maps
Jorge Pineiro
In the present work we establish the equality of the canonical metric of two commuting maps on an algebraic variety X. As a consequence the canonical height and measure associated…
Mahler formula on the projective n-space
J. A. Pineiro
In the following paper a version of the classical Mahler formula is found. The height and the measure are now relative to a self-map on a projective space of arbitrary dimension.