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D.6.9.7 displayInvariants
Procedure from library hnoether.lib (see hnoether_lib).
- Usage:
- displayInvariants(INPUT); INPUT list or poly
- Assume:
INPUT is a bivariate polynomial, or the output of
develop(f), resp. of extdevelop(develop(f),n), or (one
entry of) the list of HN data computed by
hnexpansion(f[,"ess"]).
- Return:
- none
- Display:
- invariants of the corresponding branch, resp. of all branches,
in a better readable form.
- Note:
- If the Hamburger-Noether expansion of the curve f is needed
for other purposes as well it is better to calculate this first
with the aid of
hnexpansion and use it as input instead of
the polynomial itself.
Example:
| | LIB "hnoether.lib";
ring exring=0,(x,y),dp;
list Hne=develop(y4+2x3y2+x6+x5y);
displayInvariants(Hne);
==> characteristic exponents : 4,6,7
==> generators of semigroup : 4,6,13
==> Puiseux pairs : (3,2)(7,2)
==> degree of the conductor : 16
==> delta invariant : 8
==> sequence of multiplicities: 4,2,2,1,1
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See also:
develop;
hnexpansion;
intersection;
invariants.
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