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Sarkisov Links with centres space curves on smooth cubic surfaces

Zikas, Sokratis. (2021) Sarkisov Links with centres space curves on smooth cubic surfaces. Preprints Fachbereich Mathematik, 2021 (01).

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Abstract

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 arXiv:1106.3716 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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebra (Blanc)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Zikas, Sokratis
Item Type:Preprint
Publisher:Universität Basel
Language:English
edoc DOI:
Last Modified:01 Feb 2021 19:11
Deposited On:01 Feb 2021 19:11

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