4 papers
Explicit height bounds for G-functions and unlikely intersections with lines in tori
Martin Orr
This paper computes explicit constants in Bombieri and André's height bound for points at which there are unexpected "global" polymomial relations between values of G-functions. I…
Some new cases of Zilber-Pink in
Christopher Daw, Martin Orr, Georgios Papas
We prove the Zilber-Pink conjecture for curves in that intersect a modular curve in the boundary. We also give an unconditional result for unlikely intersection points hav…
The large Galois orbits conjecture under multiplicative degeneration
Christopher Daw, Martin Orr
We establish the PEL type large Galois orbits conjecture for Hodge generic curves in possessing multiplicative degeneration. Combined with our earlier works, this c…
Zilber-Pink in a product of modular curves assuming multiplicative degeneration
Christopher Daw, Martin Orr
We prove the Zilber--Pink conjecture for curves in whose Zariski closure in passes through the point , going beyond the asymme…