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Smooth Fano 3-folds satisfying Condition (A)

Algebraic Geometry 2025-05-21 v1

Abstract

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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Cite

@article{arxiv.2505.13684,
  title  = {Smooth Fano 3-folds satisfying Condition (A)},
  author = {Hamid Abban and Ivan Cheltsov and Takashi Kishimoto and Frederic Mangolte},
  journal= {arXiv preprint arXiv:2505.13684},
  year   = {2025}
}

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16 pages