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segre(MultiprojectiveVariety) -- the Segre embedding of the variety

Synopsis

Description

This function is intended for internal use. Use the segreEmbedding function instead.

i1 : X = PP_(ZZ/3331)^({2,1,1},{2,1,3});

o1 : ProjectiveVariety, 4-dimensional subvariety of PP^5 x PP^1 x PP^3
i2 : segre X

o2 = -- rational map --
                                 ZZ                                         ZZ                     ZZ
     source: subvariety of Proj(----[x0 , x0 , x0 , x0 , x0 , x0 ]) x Proj(----[x1 , x1 ]) x Proj(----[x2 , x2 , x2 , x2 ]) defined by
                                3331   0    1    2    3    4    5          3331   0    1          3331   0    1    2    3
             {
                2
              x2  - x2 x2 ,
                2     1  3
              
              x2 x2  - x2 x2 ,
                1  2     0  3
              
                2
              x2  - x2 x2 ,
                1     0  2
              
                2
              x0  - x0 x0 ,
                4     3  5
              
              x0 x0  - x0 x0 ,
                2  4     1  5
              
              x0 x0  - x0 x0 ,
                2  3     1  4
              
                2
              x0  - x0 x0 ,
                2     0  5
              
              x0 x0  - x0 x0 ,
                1  2     0  4
              
                2
              x0  - x0 x0
                1     0  3
             }
                   ZZ
     target: Proj(----[t , t , t , t , t , t , t , t , t , t , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  , t  ])
                  3331  0   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47
     defining forms: {
                      x0 x1 x2 ,
                        0  0  0
                      
                      x0 x1 x2 ,
                        0  0  1
                      
                      x0 x1 x2 ,
                        0  0  2
                      
                      x0 x1 x2 ,
                        0  0  3
                      
                      x0 x1 x2 ,
                        0  1  0
                      
                      x0 x1 x2 ,
                        0  1  1
                      
                      x0 x1 x2 ,
                        0  1  2
                      
                      x0 x1 x2 ,
                        0  1  3
                      
                      x0 x1 x2 ,
                        1  0  0
                      
                      x0 x1 x2 ,
                        1  0  1
                      
                      x0 x1 x2 ,
                        1  0  2
                      
                      x0 x1 x2 ,
                        1  0  3
                      
                      x0 x1 x2 ,
                        1  1  0
                      
                      x0 x1 x2 ,
                        1  1  1
                      
                      x0 x1 x2 ,
                        1  1  2
                      
                      x0 x1 x2 ,
                        1  1  3
                      
                      x0 x1 x2 ,
                        2  0  0
                      
                      x0 x1 x2 ,
                        2  0  1
                      
                      x0 x1 x2 ,
                        2  0  2
                      
                      x0 x1 x2 ,
                        2  0  3
                      
                      x0 x1 x2 ,
                        2  1  0
                      
                      x0 x1 x2 ,
                        2  1  1
                      
                      x0 x1 x2 ,
                        2  1  2
                      
                      x0 x1 x2 ,
                        2  1  3
                      
                      x0 x1 x2 ,
                        3  0  0
                      
                      x0 x1 x2 ,
                        3  0  1
                      
                      x0 x1 x2 ,
                        3  0  2
                      
                      x0 x1 x2 ,
                        3  0  3
                      
                      x0 x1 x2 ,
                        3  1  0
                      
                      x0 x1 x2 ,
                        3  1  1
                      
                      x0 x1 x2 ,
                        3  1  2
                      
                      x0 x1 x2 ,
                        3  1  3
                      
                      x0 x1 x2 ,
                        4  0  0
                      
                      x0 x1 x2 ,
                        4  0  1
                      
                      x0 x1 x2 ,
                        4  0  2
                      
                      x0 x1 x2 ,
                        4  0  3
                      
                      x0 x1 x2 ,
                        4  1  0
                      
                      x0 x1 x2 ,
                        4  1  1
                      
                      x0 x1 x2 ,
                        4  1  2
                      
                      x0 x1 x2 ,
                        4  1  3
                      
                      x0 x1 x2 ,
                        5  0  0
                      
                      x0 x1 x2 ,
                        5  0  1
                      
                      x0 x1 x2 ,
                        5  0  2
                      
                      x0 x1 x2 ,
                        5  0  3
                      
                      x0 x1 x2 ,
                        5  1  0
                      
                      x0 x1 x2 ,
                        5  1  1
                      
                      x0 x1 x2 ,
                        5  1  2
                      
                      x0 x1 x2
                        5  1  3
                     }

o2 : MultihomogeneousRationalMap (rational map from 4-dimensional subvariety of PP^5 x PP^1 x PP^3 to PP^47)

See also

Ways to use this method: