O-minimality and certain atypical intersections
We show that the strategy of point counting in o-minimal structures can be applied to various problems on unlikely intersections that go beyond the conjectures of Manin-Mumford and Andr\'e-Oort. We verify the so-called Zilber-Pink Conjecture in a product of modular curves on assuming a lower bo...
Main Authors: | Habegger, P, Pila, J |
---|---|
Format: | Journal article |
Published: |
Société Mathématique de France
2016
|
Similar Items
-
Some unlikely intersections beyond André - Oort
by: Habegger, P, et al.
Published: (2012) -
On diversity of certain T-intersecting families
by: Ku, Cheng Yeaw, et al.
Published: (2021) -
Dimension of the intersection of certain Cantor sets in the plane
by: Steen Pedersen, et al.
Published: (2021-03-01) -
O-minimality and the Andre-Oort conjecture for C-n
by: Pila, J
Published: (2011) -
COUNTING RATIONAL POINTS ON A CERTAIN EXPONENTIAL-ALGEBRAIC SURFACE
by: Pila, J
Published: (2010)