Mixed André–Oort conjecture
Mixed André–Oort conjecture
Let be a connected mixed Shimura variety and let be an irreducible subvariety of . Mixed André–Oort conjecture. If the special points of contained in are Zariski dense in , then is a special subvariety of . The source states that the enlarged mixed André–Oort conjecture directly implies this mixed version and describes substantial known cases, including mixed Shimura varieties of abelian type and results conditional on generalized Riemann hypotheses; the general statement remains unresolved in the supplied text.
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Primary source
Ziyang Gao, “Enlarged mixed Shimura varieties, bi-algebraic system and some Ax type transcendental results”, arXiv:1607.07843 (2018).
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