Consider the following example: the concave bundle V = O(−6) over P 3,2,1 , Ω = 1 6H . This example will be studied in our subsequent paper by using resolution of singularities. This is an example of "local mirror symmetry" studied in physics [33]. The mirror formula there can derived as a special case of our general result. In fact, the Euler **data** which computes the K d in this case is determined by
j * 0 P d = 6d−1 m=1 (−6H + mα).
The corresponding equivariant Euler class, after taking nonequivariant limit with respect to the T action, is:
e G (X 0 /W d ) = d m=1 (H − mα) 2d m=1 (2H − mα) 3d m=1 (3H − mα).
The corresponding hypergeometric series and Picard-Fuchs equation can be immediately written down. It turns out that the hypergeometric series gives the periods of a meromorphic 1-form for a family of elliptic curves [33].