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On Degenerations of the Projective Plane

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arxiv 2405.04862 v5 pith:BXSS7442 submitted 2024-05-08 math.AG

Jürgen Hausen , Katharina Király , Milena Wrobel This is my paper · ORCID
classification math.AG
keywords degenerationsplaneprojectiveactionallowcomplementingdetermineexplicit
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Complementing results of Hacking and Prokhorov, we determine in an explicit manner all log terminal, rational, degenerations of the projective plane that allow a non-trivial torus action.

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  1. K*-surfaces of Picard number one and integral degree

    math.AG 2024-11 conditional novelty 6.0 of 10

    All fake weighted projective planes and K*-surfaces of Picard number one with integral K^2 are described explicitly by 24 series of degree matrices and by pairs of adjacent such matrices.

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