Abstract.
We consider a rational surface X r , obtained by blowing up ℙ2 along a curvilinear zero-dimensional subscheme of length r of the regular locus of a reduced irreducible plane curve of degree d, with d ≤ 4; and we give sufficient conditions for d-standard classes to be very ample (resp. base point free or non special) on such a rational surface X r .
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Postdoctoral Fellow of the Fund for Scientific Research-Flanders (Belgium).
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De Volder, C. Very Ampleness of d-standard Classes on Rational Surfaces. Monatsh. Math. 143, 61–80 (2004). https://doi.org/10.1007/s00605-004-0245-4
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DOI: https://doi.org/10.1007/s00605-004-0245-4