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ToricVectorBundles :: randomDeformation

randomDeformation -- a random deformation of a given toric vector bundle

Synopsis

Description

"For a bundle of rank $k$ the function "randomDeformation" replaces each base matrix by a random $k$ by $k$ matrix with entries between $l$ and $h$. For this $h$ must be greater than $l$. If $l$ is not given then the random entries are between $0$ and $h$ and then $h$ must be strictly positive." 

i1 : E = tangentBundle pp1ProductFan 2

o1 = {dimension of the variety => 2 }
      number of affine charts => 4
      number of rays => 4
      rank of the vector bundle => 2

o1 : ToricVectorBundleKlyachko
 
i2 : details E

o2 = HashTable{| -1 | => (| -1 0 |, | -1 0 |)}
               | 0  |     | 0  1 |
               | 0  | => (| 0  1 |, | -1 0 |)
               | -1 |     | -1 0 |
               | 0 | => (| 0 1 |, | -1 0 |)
               | 1 |     | 1 0 |
               | 1 | => (| 1 0 |, | -1 0 |)
               | 0 |     | 0 1 |

o2 : HashTable
 
i3 : E1 = randomDeformation(E,-2,6)

o3 = {dimension of the variety => 2 }
      number of affine charts => 4
      number of rays => 4
      rank of the vector bundle => 2

o3 : ToricVectorBundleKlyachko
 
i4 : details E1

o4 = HashTable{| -1 | => (| 6 3 |, | -1 0 |)}
               | 0  |     | 0 1 |
               | 0  | => (| 6 6 |, | -1 0 |)
               | -1 |     | 3 5 |
               | 0 | => (| 6 1 |, | -1 0 |)
               | 1 |     | 1 5 |
               | 1 | => (| 6 -1 |, | -1 0 |)
               | 0 |     | 1 5  |

o4 : HashTable

See also

Ways to use randomDeformation :

For the programmer

The object randomDeformation is a method function.