Secondary polytope of the perturbed "mother of all examples"

Author

Description

Secondary polytope of the perturbed "mother of all examples".

This point configuration arises by slightly perturbing the "mother of all examples". The two non-regular triangulations of the original configuration now separate, one of them becoming regular in the process. The other one moves into the interior of the secondary polytope.

The file pmother.sec.poly contains all triangulations of this point configuration and its flip graph. This graph is also provided in gml format in the file pmother.sec.gml .

Model produced with: polymake 1.4, TOPCOM 0.9.0

References

1. I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky: Discriminants, Resultants, and Multidimensional Determinants, Birkhäuser (1994).
2. G. Kempf, F. Knudsen, D. Mumford, B. Saint-Donat: Toroidal embeddings. I., Springer LNM 339 (1973).

Files

• Master File: pmother.sec.poly
• Applet File: pmother.sec.jvx
• Applet File: pmother.jvx
• Other: pmother.poly
• Other: pmother.sec.gml

Author's Address

Technische Universität Berlin
Fachbereich Mathematik, MA 7-1
Straße des 17. Juni 136
10623 Berlin, Germany
pfeifle@math.tu-berlin.de
http://www.math.tu-berlin.de/~pfeifle