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AlffCanonicalDivisor
Computes a canonical divisor of an algebraic function field
F/k.
Syntax:
W := AlffCanonicalDivisor(F);
alff divisor |
W |
|
algebraic function field |
F |
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See also: AlffDifferentDeg, AlffDifferent, AlffDiffDivisor, AlffDivisorLDim, AlffGenus, AlffInit, AlffOrders
Description:
Let F/k be an algebraic function field and omega be
a differential of F/k. The divisor W = (omega) of
the differential omega is called a canonical divisor of F/k.
For W holds deg W = 2 g -2 and dim W = g, where
g is the genus of F/k.
Example:
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