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Hodge loci and atypical intersections: conjectures

Published 26 Nov 2017 in math.AG | (1711.09387v1)

Abstract: We present a conjecture on the geometry of the Hodge locus of a (graded polarizable, admissible) variation of mixed Hodge structure over a complex smooth quasi-projective base, generalizing to this context the Zilber-Pink Conjecture for mixed Shimura varieties (in particular the Andr\'e-Oort conjecture).

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