From the 1 of 12 linked papers with an AI index.
7 papers · 1 filter
Collision of Orbits for Families of Polynomials Defined over Number Fields
Dragos Ghioca, Negin Shadgar
The paper determines exactly when two non‑preperiodic points in a parametrized family of degree‑d polynomials over number fields can have iterates that coincide with a third point…
Collision of Orbits on an Elliptic Surface
Dragos Ghioca, Negin Shadgar
Let be a smooth projective curve defined over $\Qbar$, let $Ï:\mathcal{E}\lra C$ be an elliptic surface and let be sections of (corresponding t…
Collision of orbits for families of polynomials defined over fields of positive characteristic
Shamil Asgarli, Dragos Ghioca
Let be a field of positive characteristic with a fixed algebraic closure , and let . For an integer , we consider the family of pol…
Arboreal Galois groups of postcritically finite quadratic polynomials: The strictly preperiodic case
Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1
In a previous paper, we provided an explicit description of the arboreal Galois group of the postcritically finite polynomial in the special case when the critical…
Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case
Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1
We provide an explicit construction of the arboreal Galois group for the postcritically finite polynomial , where belongs to some arbitrary field of characterist…
Effective isotrivial Mordell-Lang in positive characteristic
Jason Bell, Dragos Ghioca, Rahim Moosa
The isotrivial Mordell-Lang theorem of Moosa and Scanlon describes the set when is a subvariety of a semiabelian variety over a finite field and $Î…