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Pathological MMP singularities as $\alpha_p$-quotients

math.AG · 2025-01-02 · conditional · novelty 8.0

For every positive characteristic, the author constructs non-S3 terminal singularities of dimension p+1 and stable families with klt, Cohen-Macaulay, F-injective general fibers but non-S2 special fibers.

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  • Pathological MMP singularities as $\alpha_p$-quotients math.AG · 2025-01-02 · conditional · none · ref 1998

    For every positive characteristic, the author constructs non-S3 terminal singularities of dimension p+1 and stable families with klt, Cohen-Macaulay, F-injective general fibers but non-S2 special fibers.