Optimal bound for the number of ( − 1 ) -curves on extremal rational surfaces

Mustapha Lahyane

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-4

Abstract:

We give an optimal bound for the number of ( − 1 ) -curves on an extremal rational surface X under the assumption that − K X is numerically effective and having self-intersection zero. We also prove that a nonelliptic extremal rational surface has at most nine ( − 1 ) -curves.

Date: 2002
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/31/151052.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/31/151052.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:151052

DOI: 10.1155/S0161171202013194

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().