Abstract:

This is a work in progress. Under a technical assumption, following 
Tian-Yau’s classical work about canonical metrics on quasi projective varieties, 
we provide an geometry existence theorem of iso-trivial generalized ALG Ricci
flat K\”ahler manifolds. They are non-compact, complete, and asymptotic to a group 
quotient of the Riemannian product C times D, where C is the flat 2-dimensional 
Euclidean space, and D is a closed Calabi-Yau manifold.