Formal and convergent solutions of analytic equations
We provide the detailed proof of a strengthened version of the M. Artin Approximation Theorem.
math.CV↗
arXiv subjects
Arkadiusz Ploski
Publications and source records attributed to Arkadiusz Ploski.
Semicontinuity of the Łojasiewicz exponent
We prove that the Łojasiewicz exponent $l_0(f)$ of a finite holomorphic germ $f:(C^n,0)\to(C^n,0)$ is lower semicontinuous in any multiplicity-constant deformation of $f$.
math.AG↗