Abstract:
This is a joint work with D. van
Straten. I will discuss computation
of the Picard-Fuchs operators for certain one-parameter
families of double octic Calabi-Yau threefolds. Our method
is based on conifold expansion and works for approximately
one third of the one parameter families listed in C.
Meyer's book. I will present explicit examples of one
parameter families of double octics with special
properties of the Picard-Fuchs operator: one without a
point of maximal unipotent monodromy (MUM) and
one with three MUM points.
one with three MUM points.