Del Pezzo surfaces of Picard number one admitting a torus action

Beatrice Hafner; Daniel Haettig; Juergen Hausen; Justus Springer

Del Pezzo surfaces of Picard number one admitting a torus action

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arxiv 2207.14790 v2 pith:JZNIPJPS submitted 2022-07-29 math.AG

Daniel Haettig , Beatrice Hafner , Juergen Hausen , Justus Springer This is my paper · ORCID

classification math.AG

keywords actiongorensteinindexnumberpezzopicardsurfacestorus

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We present efficient classification algorithms for log del Pezzo surfaces with torus action of Picard number one and given Gorenstein index. Explicit results are obtained up to Gorenstein index 200.

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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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