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AlffPlacesNonSpecial
Computes a non special system of g distinct places
for a global function field F/k of genus g.
Syntax:
S := AlffPlacesNonSpecial(F);
S := AlffPlacesNonSpecial(F, d);
list |
S |
of alff places |
global function field |
F |
|
integer |
d |
>= 1 |
See also: AlffPlaces, AlffDivisorLDim
Description:
Let g be the genus of the global function field F/k and
c be the dimension of the exact constant field over the
constant field of definition.
This function returns a list of distinct places \p_1, \dots, \p_m
of F/k such that \sum_{i=1}^m \deg(\p_i) = cg and
\max_{i=1}^m \deg(\p_i) is minimal among any such places.
If a second parameter d \in Z^{ >= 1} is given, the maximum
is forced to be <= d. If there do not exist such places in
either case, false is returned.
Example:
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