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BigObject VersalComponent
from application fulton
A component of the versal deformation of a CyclicQuotient
singularity.
Properties
Algebraic Geometry
Properties relevant for the algebro-geometric side of the components of the versal deformation of CQS.
-
TOTAL_SPACE
- Type:
Combinatorics
These properties capture combinatorial information of the object. Combinatorial properties only depend on combinatorial data of the object like, e.g., the face lattice.
-
ALPHA_LATTICE
Lattice of alphas as in below article.
> Jan Arthur Christophersen: On the components and discriminant of the versal base space of cyclic quotient singularities.
- Type:
-
CONTINUED_FRACTION
The continued fraction equivalent to zero describing the versal component. See
> Jan Arthur Christophersen: On the components and discriminant of the versal base space of cyclic quotient singularities.
.. and > Jan Stevens: On the versal deformation of cyclic quotient singularities. ? Type: :''[[..:common#Vector |Vector]]<[[..:common#Integer |Integer]]>''
-
CQS_MATRIX
The CQS matrix as described in Def 6.10 of the below article.
> Theo de Jong, Duco van Straten: Deformation theory of sandwiched singularities.
- Type:
-
DIMENSION
Dimension of this component, i.e., number of parameters.
- Type:
-
N_GON_TRIANGULATION
Triangulation of the N-gon corresponding to this component. See
> Jan Stevens: On the versal deformation of cyclic quotient singularities.
- Type:
-
PYRAMID_LATTICE
- Type:
-
P_RESOLUTION
The P-resolution fan corresponding to this component. See
> Klaus Altmann: P-Resolutions of Cyclic Quotients from the Toric Viewpoint.
- Type:
-
TRIANGLES
The triangles in the N-gon triangulation corresponding to this component. See
> Jan Stevens: On the versal deformation of cyclic quotient singularities.
- Type: