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Non-existence of phantoms on some non-generic blowups of the projective plane

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arxiv 2405.01683 v1 pith:3IZYSHAZ submitted 2024-05-02 math.AG

Lev Borisov , Kimoi Kemboi This is my paper · ORCID
classification math.AG
keywords blowupscurvephantomsplanepointsprojectivechosencontain
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We show that blowups of the projective plane at points lying on a smooth cubic curve do not contain phantoms, provided the points are chosen in very general position on this curve.

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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. A note on specializing semi-orthogonal decompositions

    math.AG 2025-01 conditional novelty 7.0 of 10

    A semi-orthogonal decomposition over the generic fiber of a degeneration need not extend to a decomposition over the whole family, disproving the existence part of the valuative criterion for families of semi-orthogon...

  2. Nonexistence of phantom categories on very general noncommutative projective planes

    math.AG 2024-12 accept novelty 6.0 of 10

    Very general noncommutative projective planes do not admit phantom categories.

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