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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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