C = scarfComplex I
The algebraic Scarf complex of a monomial ideal is the sub-chain complex of the taylorResolution supported on subsets of generators with unique LCMs.
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The Scarf complex of I is always a subcomplex of the minimal free resolution of I, computed in M2 with the command res I. In this first example the Scarf complex is strictly smaller.
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In some cases, such as when I is a generic monomial ideal, the Scarf complex of I is a minimal free resolution of I. In this case scarfComplex I and res I will be isomorphic but not necessarily equal.
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See chain complexes for an overview of chain complexes in Macaulay2.
The object scarfComplex is a method function.
The source of this document is in ChainComplexExtras.m2:1632:0.