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

Autor: Mustapha Lahyane
Jazyk: angličtina
Rok vydání: 2002
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 31, Iss 2, Pp 123-126 (2002)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171202013194
Popis: We give an optimal bound for the number of (−1)-curves on an extremal rational surface X under the assumption that −KX is numerically effective and having self-intersection zero. We also prove that a nonelliptic extremal rational surface has at most nine (−1)-curves.
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