From the 1 of 4 linked papers with an AI index.
4 papers
On lower bounds for canonical heights of the map
Jorge Mello
The paper establishes a lower bound for the canonical height of non‑periodic points under Hénon maps of the form \(\phi(X,Y)=(Y,X+Y^D+b)\) when the degree \(D>2\), extending earlie…
On abelian points of varieties intersecting subgroups in a torus
Jorge Mello
We show, under some natural conditions, that the set of abelian points on the non-anomalous subset of a closed irreducible subvariety intersected with the union of connected al…
On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics
Jorge Mello, Yu Yasufuku
We study multiplicative dependence of points in semigroup orbits in higher dimensions. More specifically, we show that the non-density of integral points in semigroup orbits implie…
Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height
Jorge Mello
Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising re…