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AlffUnitsFund
Computes s-1 fundamental units of a global function fields's
finite maximal order.
Syntax:
L := AlffUnitsFund(o);
| list |
L |
|
| finite maximal order |
o |
of a global function field |
See also: AlffRegulator
Description:
This function computes s-1 fundamental units of the given
finite maximal order of a global function field F (the
integral closure of k[T] in F),
where s is the number of places of F at infinity. A list
containing the units is returned. The infinite place
of k(T) must have tame ramification in F. See Scho1
for further definitions and algorithms.
Example:
kash> AlffInit(FF(5,1));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^4+(2*T+3)*y^3+y^2+(3*T+2)*y+1);
"Defining global variables: F, o, oi, one"
kash> AlffUnitsFund(o);
> [ [ 1, 1, 0, 0 ], [ 1, 4*T, 4*T + 3, 2 ], [ 3*T + 1, 1, 2*T + 3, 1 ] ]
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