Eulerian partitions for configurations of skew lines

Details Eulerian partitions for configurations of skew lines Eulerian partitions for configurations of skew lines

2010-06-17

arxiv.org/abs/1006.3447v1

Mathematics

Combinatorics

17 pages, 8 Figures. This paper is an update of a part of math/0205245. Submitted for publication

Scientific paper

In this paper, which is a complement of \cite{BG}, we study a few elementary invariants for configurations of skew lines, as introduced and analyzed first by Viro and his collaborators. We slightly simplify the exposition of some known invariants and use them to define a natural partition of the lines in a skew configuration. We also describe an algorithm which constructs a spindle-permutation for a given switching class, or proves non-existence of such a spindle-permutation.

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