Surfaces with many nodes

Igor Dolgachev; Margarida Mendes Lopes; Rita Pardini

Surfaces with many nodes

Algebraic Geometry 2007-05-23 v1

Authors: Igor Dolgachev , Margarida Mendes Lopes , Rita Pardini

Abstract

We describe smooth rational projective algebraic surfaces over an algebraically closed field of characteristic different from 2 which contain $n \ge \b_2-2$ disjoint smooth rational curves with self-intersection -2, where $\b_2$ is the second Betti number. In the last section this is applied to the study of minimal complex surfaces of general type with $p_g = 0$ and $K^2 = 8, 9$ which admit an automorphism of order 2.

Keywords

del pezzo surfaces automorphisms of algebraic surfaces algebraic surfaces

Cite

@article{arxiv.math/0011087,
  title  = {Surfaces with many nodes},
  author = {Igor Dolgachev and Margarida Mendes Lopes and Rita Pardini},
  journal= {arXiv preprint arXiv:math/0011087},
  year   = {2007}
}

Comments

Latex 2e, 17 pages

Surfaces with many nodes

Abstract

Keywords

Cite

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