  We investigated the localization of the spinorial field in a braneworld built
as a warped product between a 3-brane and a 2-cycle of the resolved conifold.
This scenario provides a geometric flow that controls the singularity at the
origin and changes the properties of the fermion in this background.
Furthermore, due the cylindrical symmetry according to the 3-brane and a
smoothed warp factor, this geometry can be regarded as a near brane correction
of the string-like branes. This geometry allows a normalizable and well-defined
massless mode whose decay and value on the brane depend on the resolution
parameter. For the Kaluza-Klein modes, resolution parameter also controls the
height of the barrier of the volcano potential.
