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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  

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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