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The movable fan of the Horrocks-Mumford quintic

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arxiv math/0102055 v1 pith:KHC6CDDF submitted 2001-02-07 math.AG

M.J. Fryers This is my paper · ORCID
classification math.AG
keywords isomorphismmodelsmovablebirationalhorrocks-mumfordmarkedquinticarranged
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This paper explores the birational geometry of a general Horrocks-Mumford quintic threefold, describing the set of all minimal models up to marked isomorphism, the movable fan (the way in which the nef cones of all these models are arranged to form the movable cone), and the birational automorphism group. There are infinitely many models up to marked isomorphism, falling into just eight (unmarked-) isomorphism classes.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 12 citations worldwide. Full citation record

  1. On the boundedness of elliptic Calabi-Yau 4-folds

    math.AG 2026-07 accept novelty 6.0 of 10

    Elliptic Calabi–Yau 4-folds not crepant to a product quotient of a Calabi–Yau 3-fold times an elliptic curve form a bounded family.

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