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# OnlyDegenerate -- restrict to degenerate geometric vertex decompositions

## Description

Set to true to restrict the output of findOneStepGVD to return only the indeterminates for which their geometric vertex decomposition is degenerate. Default value false. Following the notation of oneStepGVD, a geometric vertex decomposition is degenerate if either $\sqrt{C_{y, I}} = \sqrt{N_{y, I}}$ or if $C_{y, I} = \langle 1 \rangle$, and is nondegenerate otherwise.

## See also

- findOneStepGVD -- for which indeterminates does there exist a geometric vertex decomposition
- oneStepGVD -- computes a geometric vertex decomposition
- OnlyNondegenerate -- restrict to nondegenerate geometric vertex decompositions

## Functions with optional argument named OnlyDegenerate:

- `findOneStepGVD(...,OnlyDegenerate=>...)`

## For the programmer

The object OnlyDegenerate is a symbol.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/GeometricDecomposability.m2:1915:0.