A Smooth Space of Tetrahedra

@article{Babson1999ASS,
  title={A Smooth Space of Tetrahedra},
  author={Eric K. Babson and Paul E. Gunnells and Richard A. Scott},
  journal={Advances in Mathematics},
  year={1999},
  volume={165},
  pages={285-312}
}
Abstract We construct a smooth symmetric compactification of the space of all labeled tetrahedra in P 3. 
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References

SHOWING 1-10 OF 27 REFERENCES
ADDENDUM Specht Modules for Column-Convex Diagrams: Characteristic-Free Results for Weyl Modules
Abstract It is shown that the results in Reiner and Shimozono 12 have characteristic-free analogues for Weyl modules.
Specht Series for Column-Convex Diagrams
Abstract We give a Specht series for the Specht module S D associated to a diagram D in two cases: (1) when D is column-convex, (2) when D is the complement of a column-convex diagram within a
Buildings of Spherical Type and Finite BN-Pairs
These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968. Their main purpose is
Borel-Weil theorem for con guration varieties and Schur modules
We present a generalization of the classical Schur modules ofGL(n) exhibiting the same interplay among algebra, geometry, and combinatorics. A generalized Young diagramDis an arbitrary finite subset
Intersection rings of spaces of triangles
© Mémoires de la S. M. F., 1989, tous droits réservés. L’accès aux archives de la revue « Mémoires de la S. M. F. » (http://smf. emath.fr/Publications/Memoires/Presentation.html) implique l’accord
53–88, Collection of articles dedicated to Henri Cartan on the occasion of his 70th birthday, I
  • 1974
...
...