3 citations · 6 across the 10 of their papers we have counts for
10 papers
Scarcity of finite orbits for rational functions over a number field
J. K. Canci, Sebastian Troncoso, Solomon Vishkautsan
Let be a an endomorphism of degree of the projective line, defined over a number field . Let be a finite set of places of , including the archimedean place…
On preperiodic points of rational functions defined over
Jung Kyu Canci, Laura Paladino
Let be a periodic point for a monic polynomial with coefficients in . With elementary techniques one sees that the minimal periodicity of…
Quadratic maps with a periodic critical point of period 2
J. K. Canci, Solomon Vishkautsan
We provide a complete classification of possible graphs of rational preperiodic points of endomorphisms of the projective line of degree 2 defined over the rationals with a rationa…
Good Reduction for Endomorphisms of the Projective Line in Terms of the Branch Locus
J. K. Canci
Let be a number field and a non archimedean valuation on . We say that an endomorphism has good reduction at if there exists a…
Preperiodic points for rational functions defined over a rational function field of characteristic zero
J. K. Canci
Let be an algebraic closed field of characteristic zero. Let be the rational function field . Let be a non isotrivial rational function in . We prove a bo…
Preperiodic points for rational functions defined over a global field in terms of good reductions
Jung-Kyu Canci, Laura Paladino
Let be an endomorphism of the projective line defined over a global field . We prove a bound for the cardinality of the set of -rational preperiodic points for in ter…