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arxiv: 1810.11395 · v1 · submitted 2018-10-26 · 🧮 math.CV · math.AG

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On the local isomorphism property for families of K3 surfaces

Tim Kirschner
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classification 🧮 math.CV math.AG
keywords familiesisomorphicsurfacesanswerschallengescomplexconstructisomorphism
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We construct two families of K3 surfaces over a complex manifold $S$ such that the families are pointwise isomorphic but not locally isomorphic over $S$. This answers a question of Wehler from 1977 in the negative and challenges a more recent result of Meersseman.

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

  1. Local isomorphisms for families of projective non-unruled manifolds

    math.AG 2026-05 unverdicted novelty 6.0

    Pointwise isomorphic smooth families of projective non-uniruled manifolds over a Riemann surface are locally isomorphic over a dense open subset of the base.