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Smooth Fano 3-folds satisfying Condition (A)

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arxiv 2505.13684 v1 pith:BVDMTI4U submitted 2025-05-19 math.AG

Hamid Abban , Ivan Cheltsov , Takashi Kishimoto , Frederic Mangolte This is my paper · ORCID
classification math.AG
keywords conditionsmoothfanofoldssatisfyabelianautomorphismclassify
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A smooth variety is said to satisfy Condition (A) if every finite abelian subgroup of its automorphism group has a fixed point. We classify smooth Fano 3-folds that satisfy Condition (A).

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  1. A rationality criterion for real Fano threefolds

    math.AG 2025-07 conditional novelty 7.0 of 10

    For smooth geometrically rational real Fano threefolds with nonempty real locus, the absence of any deformation-equivalent real form with disconnected real locus forces R-rationality.

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