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AlffWronskian
Returns the Wronski matrix of a Riemann-Roch space.
Syntax:
W := AlffWronskian(D);
W := AlffWronskian(F);
list |
W |
list of rows |
alff divisor |
D |
{cal L}(D) is computed |
alff |
F |
equivalent to taking D = 0 |
See also: AlffWronskianOrders, AlffDiff, AlffDifferentiation, AlffRamDivisor
Description:
Let F/k be an algebraic function field with separating
element x and let v_1, \dots v_l
be a basis of {cal L}(D). For the differentiation D_x with
respect to x consider the successively
smallest \nu_1 <= \dots <=
\nu_l \in Z^{ >= 0} such that the rows D_x^{(\nu_i)}(v_1),
\dots, D_x^{(\nu_i)}(v_l), 1 <= i <= l
are F-linearly independent. These rows form the Wronski
matrix of D with respect to x and are returned as
a list of lists W. If D has dimension zero, false is
returned. The constant field k is required to be exact.
Example:
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