Articulated Zilber-Pink conjecture for mixed Shimura and semi-abelian varieties
Articulated Zilber-Pink conjecture for mixed Shimura and semi-abelian varieties
Let be a mixed Shimura variety or a semi-abelian variety defined over . Let denote the smallest special subvariety containing a subvariety , and define its defect by
For , , and a non-negative integer , let be the union of subvarieties with . Articulated Zilber-Pink conjecture. The set is a finite union of atypical subvarieties of defect at most . The source explains that this is a stronger, defect-by-defect formulation implied formally by Zilber-Pink; the supplied text does not state that either conjecture is resolved.
Sources & referencesView supporting material
Primary source
Philipp Habegger and Jonathan Pila, “O-minimality and certain atypical intersections”, arXiv:1409.0771 (2014).
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