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D.5.2.28 chSymm
Procedure from library chern.lib (see chern_lib).
- Usage:
- chSymm(k, r, c[, pos]); k, r integers, c list of polynomials, pos list of integers
- Return:
- list with entries: int N, list of polynomials l
- Purpose:
- computes the rank and the Chern classes of the symmetric power of a vector bundle
- Note:
- for the second symmetric power chSymm2L(...) could be faster
Example:
| LIB "chern.lib";
ring r=0, (c(1..5)), dp;
list l=c(1..5);
// the rank and the Chern classes of the second symmetric power of a vector bundle of rank 3
print( chSymm(2, 3, l) );
// the rank and the first 3 Chern classes
// of the second symmetric power of a vector bundle of rank 5
print( chSymm(2, 5, l, 1, 2, 3) );
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