From the 1 of 9 linked papers with an AI index.
9 papers
Finding suitably generic points on curves with an application to the construction of rigid real closed fields
Dragos Ghioca, David Marker, Charles Steinhorn
Let be an algebraically closed field of characteristic 0 and transcendence degree at least 2. Let be an irreducible curve defined over but not defined over t…
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…
Blocking sets from a union of plane curves
Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip
Motivated by a question of ErdÅs on blocking sets in a projective plane that intersect every line only a few times, several authors have used unions of algebraic curves to constru…
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…