Journal of Pure and Applied Mathematics: Advances and Applications
Author's: Remo Gattazzo
Pages: [163] - [200]
Received Date: May 15, 2014
Submitted by:
The behaviour of birational transformations between particular
surfaces in 
and almost-factoriality are investigated.
Using a suitable parametrization on 
of the quartic surfaces with a tacnodal
point, all almost-factorial surfaces of this kind can be classified.
We prove that there are nine classes of such surfaces 
and for each of them a possible equation
is written and its index of almost-factoriality 
is computed. There are surfaces 
with 
For each irreducible algebraic curve
we outline how to construct a surface
such that 
with 
almost-factorial, rational transformations, rational quartic surfaces.
