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D.15.16.4 NakYoshF
Procedure from library goettsche.lib (see goettsche_lib).
- Usage:
- NakYoshF(z, t, r, n); z, t polynomials, r, n integers
- Return:
- polynomial in z and t
- Purpose:
- computes the formula of Nakajima and Yoshioka
up to degree n in t
- Note:
- zero is returned if n<0 or r<=0
Example:
| | LIB "goettsche.lib";
ring r=0, (t, z), ls;
// get the Nakajima-Yoshioka formula for r=1 up to degree 3, i.e.,
// the generating function for the Poincare polynomials of the
// punctual Hilbert schemes of n planar points
print( NakYoshF(z, t, 1, 3) );
==> 1+t+t2+t2z2+t3+t3z2+t3z4
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