Sarkisov links with centre space curves on smooth cubic surfaces

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Sokratis Zikas
Universität Basel. Departement Mathematik und Informatik
https://orcid.org/0000-0002-0563-2571

We construct and study Sarkisov links obtained by blowing up smooth space curves lying on smooth cubic surfaces. We restrict our attention to the case where the blowup is not weak Fano. Together with the results of [5], which cover the weak Fano case, we provide a classification of all such curves. This is achieved by computing all curves which satisfy certain necessary criteria on their multisecant curves and then constructing the Sarkisov link step by step.

Paraules clau
Sarkisov links, Cremona groups, cubic surfaces, anti-flips

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Zikas, Sokratis. «Sarkisov links with centre space curves on smooth cubic surfaces». Publicacions Matemàtiques, 2023, vol.VOL 67, núm. 2, p. 481-13, http://raco.cat/index.php/PublicacionsMatematiques/article/view/418406.
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