PT1 -- Compute the deformation polytope associated to a Stanley-Reisner complex.

Synopsis

• Usage:

  PT1(C)

• Inputs:
  • C, an embedded complex,
• Optional inputs:
  • file => ..., default value null, Store result of a computation in a file.
• Outputs:
  • an embedded complex,

Description

i1 : R=QQ[x_0..x_3]

o1 = R

o1 : PolynomialRing

i2 : I=ideal(x_0*x_1,x_2*x_3)

o2 = ideal (x x , x x )
             0 1   2 3

o2 : Ideal of R

i3 : C=idealToComplex I

o3 = 1: x x  x x  x x  x x  
         0 2  1 2  0 3  1 3

o3 : complex of dim 1 embedded in dim 3 (printing facets)
     equidimensional, simplicial, F-vector {1, 4, 4, 0, 0}, Euler = -1

i4 : PT1C=PT1 C

o4 = 3: y y y y y y y y  
         0 1 2 3 4 5 6 7

o4 : complex of dim 3 embedded in dim 3 (printing facets)
     equidimensional, non-simplicial, F-vector {1, 8, 14, 8, 1}, Euler = 0

Caveat

See also

• deformationsFace -- Compute the deformations associated to a face.
• link -- The link of a face of a complex.
• globalSections -- The global sections of a toric divisor.
• tropDef -- The co-complex of tropical faces of the deformation polytope.