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单词 Barth Decic
释义

Barth Decic

The Barth decic is a Decic Surface in complex three-dimensional projective space having the maximum possible number ofOrdinary Double Points (345). It is given by the implicit equation

where is the Golden Mean and is a parameter (Endraß, Nordstrand), taken as in the above plot.The Barth decic is invariant under the Icosahedral Group.

See also Algebraic Surface, Barth Sextic, Decic Surface, Ordinary Double Point


References

Barth, W. ``Two Projective Surfaces with Many Nodes Admitting the Symmetries of the Icosahedron.'' J. Alg. Geom. 5, 173-186, 1996.

Endraß, S. ``Flächen mit vielen Doppelpunkten.'' DMV-Mitteilungen 4, 17-20, 4/1995.

Endraß, S. ``Barth's Decic.''http://www.mathematik.uni-mainz.de/AlgebraischeGeometrie/docs/Ebarthdecic.shtml.

Nordstrand, T. ``Batch Decic.'' http://www.uib.no/people/nfytn/bdectxt.htm.


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