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Reference documentation for older polymake versions: release 3.4, release 3.3, release 3.2
BigObject CyclicQuotient
from application fulton
An affine normal toric variety given by a two-dimensional cone in two-dimensional space.
- derived from:
Properties
Algebraic Geometry
Properties relevant for the algebro-geometric side of CQS.
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VERSAL_COMPONENT The components of the versal deformation.
- Type:
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VERSAL_COMPONENTS The continued fractions equivalent to zero that index the components of the versal deformation. See
> Jan Arthur Christophersen: On the components and discriminant of the versal base space of cyclic quotient singularities.
- Type:
Input properties
Properties defining a cyclic quotient singularity. Please be careful in checking the consistency if you give multiple input properties.
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CONTINUED_FRACTION Representation of the number n/q as a Hirzebruch-Jung continued fraction. Take care that this property agrees with the dual property.
- Type:
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DUAL_CONTINUED_FRACTION Representation of the number n/(n-q) as a Hirzebruch-Jung continued fraction. Take care that this property agrees with the dual property.
- Type:
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N Every cyclic quotient variety corresponds to a cone given by the rays (1,0) and (-q,n).
- Type:
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Q Every cyclic quotient variety corresponds to a cone given by the rays (1,0) and (-q,n).
- Type: