Conics Touching a Quartic Surface with 13 Nodes

Details Conics Touching a Quartic Surface with 13 Nodes Conics Touching a Quartic Surface with 13 Nodes

1996-02-22

arxiv.org/abs/alg-geom/9602016v1

Mathematics

Algebraic Geometry

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

Scientific paper

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 $\PP ^3$ that has exactly 13 ordinary
nodes as singularities this parameter space is studied. In particular, its
irreducible components are described.

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