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arxiv: 1711.09387 · v1 · pith:7TZ6ULPDnew · submitted 2017-11-26 · 🧮 math.AG

Hodge loci and atypical intersections: conjectures

classification 🧮 math.AG
keywords conjecturehodgemixedadmissibleandratypicalbasecomplex
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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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