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arXiv · 2407.04569

Pencils of plane cubics with one base point

Riccardo Moschetti·Gian Pietro Pirola·Lidia Stoppino
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Abstract

We study pencils of plane cubics with only one base point and general member smooth, giving a complete classification. Under the additional hypothesis that all members are irreducible, we prove that there exists a unique non-isotrivial pencil with these properties up to projective transformation. We compare our construction with the classical approaches given by Gattazzo, Beauville and Miranda-Persson.

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Riccardo Moschetti, Gian Pietro Pirola, Lidia Stoppino. 2024-07-05. Pencils of plane cubics with one base point. https://arxiv.org/abs/2407.04569

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