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Singular Log Structures and Log Crepant Log Resolutions I

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arxiv 2503.11610 v1 pith:GEOLXZHM submitted 2025-03-14 math.AG math.CO

Alessio Corti , Tim Graefnitz , Helge Ruddat This is my paper · ORCID
classification math.AGmath.CO
keywords conjectureclasscrepantresolutionsschemessingularadmitdimensions
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We introduce a class of singular log schemes in three dimensions and conjecture that log schemes in this class admit log crepant log resolutions. We provide examples as evidence and relate this conjecture to the conjecture made in [4] and the Gross--Siebert program.

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  1. Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$

    math.AG 2025-06 reject novelty 6.0 of 10

    The cohomology and intersection form of smooth hypersurfaces in weighted projective spaces are computed explicitly via Alexander duality and a covering by ordinary projective space.

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