English

Classification of Exceptional Complements: Elliptic Curve Case

alg-geom 2007-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.alg-geom/9711029,
  title  = {Classification of Exceptional Complements: Elliptic Curve Case},
  author = {Terutake Abe},
  journal= {arXiv preprint arXiv:alg-geom/9711029},
  year   = {2007}
}

Comments

LaTeX2e, 14 pages, with 24 postscript figures

R2 v1 2026-07-22T07:42:56.770Z