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On quasi-log structures for complex analytic spaces

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arxiv 2209.11401 v4 pith:QH242GF6 submitted 2022-09-23 math.AG math.CV

Osamu Fujino This is my paper · ORCID
classification math.AGmath.CV
keywords analyticcomplexquasi-logspacesestablishauthorcanonicalfundamental
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We introduce the notion of quasi-log complex analytic spaces and establish various fundamental properties. Moreover, we prove that a semi-log canonical pair naturally has a quasi-log complex analytic space structure. This paper is part of the author's project to establish a minimal model theory for projective morphisms between complex analytic spaces.

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Cited by 2 Pith papers

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

  1. On finiteness of relative log pluricanonical representations

    math.AG 2025-06 conditional novelty 7.0 of 10

    The paper proves finiteness of relative log pluricanonical representations for complex analytic spaces and reduces the abundance conjecture for analytic families to the classical abundance conjecture for projective varieties.

  2. Notes on rational chain connectedness

    math.AG 2026-02 conditional novelty 6.0 of 10

    A complex-analytic analogue of Hacon–McKernan rational chain connectedness is proved using the minimal model program, showing resolution fibers of analytic klt singularities are rationally chain connected.

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