Singular Manual: QuotientEquations

| #### D.6.18.3 QuotientEquations Procedure from library `qhmoduli.lib` (see qhmoduli_lib). Usage: QuotientEquations(G,action,emb [, opt]); ideal G,action,emb;int opt Purpose: compute the quotient of the variety given by the parameterization 'emb' by the linear action 'action' of the algebraic group G. Assume: 'action' is linear, G must be finite if the Reynolds operator is needed (i.e., NullCone(G,action) returns some non-invariant polys) Return: polynomial ring over a simple extension of the ground field of the basering, containing the ideals 'id' and 'embedid'. - 'id' contains the equations of the quotient, if opt = 1; if opt = 0, 2, 'id' contains generators of the coordinate ring R of the quotient (Spec(R) is the quotient) - 'embedid' = 0, if opt = 1; if opt = 0, 2, it is the ideal defining the equivariant embedding Options: 1 compute equations of the quotient, 2 use a primary decomposition when computing the Reynolds operator, to combine options, add their value, default: opt =3.

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