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D.5.1.8 rncItProjEven

Procedure from library paraplanecurves.lib (see paraplanecurves_lib).

Usage:
rncItProjEven(I); I ideal

Assume:
I is a homogeneous ideal in the basering with n+1 variables defining a rational normal curve C in PP^n with n even.

Note:
The procedure will fail or give a wrong output if I is not the ideal of a rational normal curve. It will test whether n is odd.

Return:
ring with an ideal CONIC defining a conic C2 in PP^2.
In addition, an ideal PHI in the basering defining an isomorphic projection of C to C2 will be exported.
Note that the entries of PHI should be considered as
representatives of elements in R/I, where R is the basering.

Theory:
We iterate the procedure rncAntiCanonicalMap to obtain PHI.

Example:
 
See also: rncItProjOdd.


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