Sarkisov links with centre space curves on smooth cubic surfaces
Zikas, Sokratis (Universität Basel. Departement Mathematik und Informatik)

Data:	2023
Resum:	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.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Sarkisov links ; Cremona groups ; Cubic surfaces ; Anti-flips
Publicat a:	Publicacions matemàtiques, Vol. 67 Núm. 2 (2023) , p. 481-513 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/418406
DOI: 10.5565/PUBLMAT6722301

33 p, 487.7 KB

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