We describe the branch locus of proper holomorphic mappings between rigid polynomial domains in Cn+1. It appears, in particular, that it is controlled only by the first domain. As an application, we prove that proper holomorphic self-mappings between such domains are biholomorphic.
@article{urn:eudml:doc:41414, title = {Proper holomorphic mappings between rigid polynomial domains in Cn+1.}, journal = {Publicacions Matem\`atiques}, volume = {45}, year = {2001}, pages = {69-77}, mrnumber = {MR1829577}, zbl = {0991.32013}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41414} }
Coupet, Bernard; Ourimi, Nabil. Proper holomorphic mappings between rigid polynomial domains in Cn+1.. Publicacions Matemàtiques, Tome 45 (2001) pp. 69-77. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41414/