Analytic Semiroots for Plane Branches and Singular Foliations

The analytic moduli of equisingular plane branches has the semimodule differential values as most relevant system discrete invariants. Focusing in case cusps, minimal generators this is reached by attached to $1$-forms so-called standard bases. We can complete a basis an enlarged one adding last $1$-form that considered cusp invariant branch and ``correct'' divisorial order. elements such bases have ``cuspidal'' divisor ``totally dicritical divisor'' hence they define packages are initial one. These semiroots. In paper we prove well structured from geometrical foliated viewpoint, sense semimodules described just truncation list at corresponding value. particular all same values.