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Classification of Exceptional Complements: Elliptic Curve Case

Terutake Abe
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Abstract

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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Terutake Abe. 1997-11-24. Classification of Exceptional Complements: Elliptic Curve Case. https://arxiv.org/abs/alg-geom/9711029

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