2023 SARKISOV LINKS WITH CENTRE SPACE CURVES ON SMOOTH CUBIC SURFACES
Sokratis Zikas
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Publ. Mat. 67(2): 481-513 (2023). DOI: 10.5565/PUBLMAT6722301

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 [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.

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Sokratis Zikas. "SARKISOV LINKS WITH CENTRE SPACE CURVES ON SMOOTH CUBIC SURFACES." Publ. Mat. 67 (2) 481 - 513, 2023. https://doi.org/10.5565/PUBLMAT6722301

Information

Received: 7 January 2021; Revised: 22 July 2021; Published: 2023
First available in Project Euclid: 29 June 2023

MathSciNet: MR4609009
zbMATH: 07720468
Digital Object Identifier: 10.5565/PUBLMAT6722301

Subjects:
Primary: 14E05 , 14E07 , 14E30

Keywords: anti-flips , Cremona groups , Cubic surfaces , Sarkisov links

Rights: Copyright © 2023 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.67 • No. 2 • 2023
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