Classification of Exceptional Complements: Elliptic Curve Case

Mathematics – Algebraic Geometry

Scientific paper

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LaTeX2e, 14 pages, with 24 postscript figures

Scientific paper

We classify the log del Pezzo surface (S,B) of rank 1 with no 1-,2-,3-,4-, or
6-complements with the additional condition that B has one irreducible
component C which is an elliptic curve, and that C has the coefficient b in B
with (1/n)floor((n+1)b)=1 for n=1,2,3,4, and 6.

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