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D.5.5.6 BettiNumsQp
Procedure from library goettsche.lib (see goettsche_lib).
- Usage:
- BettiNumsQp(r, n); n, r integers
- Return:
- list of non-negative integers
- Purpose:
- computes the Betti numbers of the punctual Quot-scheme
of rank r on n points on a plane
- Note:
- an empty list is returned if n<0 or r<=0
Example:
| | LIB "goettsche.lib";
ring r=0, (z), ls;
// get the Betti numbers of the punctual Hilbert scheme (r=1)
// of 3 points on a plane
print( BettiNumsQp(1, 3) );
==> [1]:
==> 1
==> [2]:
==> 0
==> [3]:
==> 1
==> [4]:
==> 0
==> [5]:
==> 1
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