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Hulls and Husks

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arxiv 0805.0576 v4 pith:742LFIKR submitted 2008-05-05 math.AG

classification math.AG
keywords hullsanalogapplicationsconditionsconstructioncriteriadecompositionflatness
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The aim of this note is to prove an analog of the flattening decomposition theorem for reflexive hulls. The main applications are: the construction of the moduli space of varieties of general type, improved flatness conditions and criteria for simultaneous normalizations.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Effective characterization of semi-abelian varieties

    math.AG 2026-07 conditional novelty 7.0 of 10

    Under maximal Albanese dimension, P_2(V)=1 implies V is isomorphic to a semi-abelian variety away from a codimension-2 subset.

  2. O'Grady's tenfolds from stable bundles on hyper-K\"ahler fourfolds

    math.AG 2024-11 conditional novelty 7.0 of 10

    A moduli-space construction realizes the Laza-Saccà-Voisin compactification and yields infinitely many new families of O'Grady's ten-dimensional hyper-Kähler manifolds.

  3. The virtual fundamental class for the moduli space of surfaces of general type

    math.AG 2022-06 unverdicted novelty 7.0 of 10

    Proves existence of virtual fundamental class on KSBA moduli space of stable general type surfaces by constructing it on the moduli stack of lci covers and pushing forward.

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