Lahyane, Mustapha Optimal bound for the number of \((-1)\)-curves on extremal rational surfaces. (English) Zbl 1043.14009 Int. J. Math. Math. Sci. 31, No. 2, 123-126 (2002). Summary: 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 has self-intersection zero. We also prove that a nonelliptic extremal rational surface has at most nine \((-1)\)-curves. MSC: 14J26 Rational and ruled surfaces 14C20 Divisors, linear systems, invertible sheaves Keywords:projective rational surface; NEF PDFBibTeX XMLCite \textit{M. Lahyane}, Int. J. Math. Math. Sci. 31, No. 2, 123--126 (2002; Zbl 1043.14009) Full Text: DOI EuDML