Deformations of A^1-fibrations
  We consider log deformations of affine surfaces with fibrations by the affine lines. Such a fibration is of affine type (resp. of complete type) if the base curve of the fibration is an affine curve (resp. a complete curve). The case of affine type is mainly treated in the article. 
R.V. Gurjar, K. Masuda and M. Miyanishi
math.AG