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AbstractVarietyMap _* -- push forward operator associated to a map of varieties

Synopsis

Description

i1 : X = abstractProjectiveSpace' 4

o1 = X

o1 : a flag bundle with subquotient ranks {4, 1}
i2 : f = X.StructureMap

o2 = f

o2 : a map to point from X
i3 : OO_X(1)

o3 = a sheaf

o3 : an abstract sheaf of rank 1 on X
i4 : f_* oo

o4 = a sheaf

o4 : an abstract sheaf of rank 5 on point
i5 : ch OO_X(1)

             1 2   1 3    1 4
o5 = 1 + h + -h  + -h  + --h
             2     6     24

                              QQ[][H   ..H   , h]
                                    1,1   1,4
o5 : --------------------------------------------------------------------
     (- H    - h, - H    - H   h, - H    - H   h, - H    - H   h, -H   h)
         1,1         1,2    1,1      1,3    1,2      1,4    1,3     1,4
i6 : f_* oo

      1
o6 = --
     24

o6 : QQ[]

See also

Ways to use this method: