A simple proof of a Theorem of Halphen and generalizations

Alcides Lins Neto

Keywords: Singularities of holomorphic maps | germs of holomorphic maps

In this paper we generalize a result by Halphen (1884) on zeroes of the sum of three powers of complex polynomials in three variables, to germs of holomorphic maps of several complex variables.

Anexos:

• alci.ps