BigObject CyclicQuotient

from application fulton

An affine normal toric variety given by a two-dimensional cone in two-dimensional space.

derived from:

NormalToricVariety

Properties relevant for the algebro-geometric side of CQS.

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VERSAL_COMPONENT

The components of the versal deformation.

Type:

VersalComponent

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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:

Matrix<Rational,NonSymmetric>

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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:

Vector<Integer>

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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:

Vector<Integer>

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N

Every cyclic quotient variety corresponds to a cone given by the rays (1,0) and (-q,n).

Type:

Integer

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Q

Every cyclic quotient variety corresponds to a cone given by the rays (1,0) and (-q,n).

Type:

Integer

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