Affine configurations of 4 lines in R R 3

@inproceedings{Arocha2005AffineCO,
  title={Affine configurations of 4 lines in R R 3},
  author={Jorge L. Arocha and Javier Bracho and Chaim Goodman-Strauss and Luis Pedro Montejano},
  year={2005}
}
We prove that affine configurations of 4 lines in R 3 are topologically and combina- torially homeomorphic to affine configurations of 6 points in R4. 1. Introduction. Consider four lines � 1 ,� 2 ,� 3 ,� 4 in 3-dimensional space R 3 ; their affineconfiguration is their equivalence class under the natural (diagonal) action of the affine group Aff(3). We say that their directions are ingeneral position if their corresponding four points at infinity are in general position in the projective plane… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-3 OF 3 REFERENCES

Combinatorial geometries

I. M. Gelfand, R. M. Goresky, R. D. MacPherson, V. V. Serganova
  • convex polyhedra and Schubert cells. Adv. in Math. 63(3), 301–316
  • 1987
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

Combinatorial Geometries, Convex Polyhedra, and Schubert Cells

Gel'fand Im, R. M Goresky, R. D MacPherson, V. V Serganova
  • 1987
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL