English

Conics Touching a Quartic Surface with 13 Nodes

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

Motivated by questions occuring in the construction of certain twistor spaces the parameter space of conics tangent to a given quartic is investigated. For a given real quartic surface in complex \PP3\PP ^3 that has exactly 13 ordinary nodes as singularities this parameter space is studied. In particular, its irreducible components are described.

Keywords

Cite

@article{arxiv.alg-geom/9602016,
  title  = {Conics Touching a Quartic Surface with 13 Nodes},
  author = {Ingo Hadan},
  journal= {arXiv preprint arXiv:alg-geom/9602016},
  year   = {2008}
}

Comments

31 pages, LaTeX 2.09. .tex and .dvi-Files also available at http://www-irm.mathematik.hu-berlin.de/~hadan/papers.html