Singular Manual: BettiNumsQp

| #### 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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