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Compactifications of the Eisenstein ancestral Deligne-Mostow variety

math.AG · 2024-03-27 · unverdicted · novelty 6.0

For the Eisenstein Deligne-Mostow variety linked to 12 points on P^1, Kirwan's partial resolution is not semi-toroidal, the period map does not lift to the toroidal compactification, the two compactifications are not derived equivalent, and an automorphic form is constructed on non-hyperelliptic g=4

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  • Compactifications of the Eisenstein ancestral Deligne-Mostow variety math.AG · 2024-03-27 · unverdicted · none · ref 10

    For the Eisenstein Deligne-Mostow variety linked to 12 points on P^1, Kirwan's partial resolution is not semi-toroidal, the period map does not lift to the toroidal compactification, the two compactifications are not derived equivalent, and an automorphic form is constructed on non-hyperelliptic g=4