An algorithm to calculate discrete invariants of singular primes in function fields
The authors consider a function field F in one variable over K a separably closed field of positive characteristic \(p>0,\) and a singular curve with F as field of fractions and they extend the coefficients of this curve to the algebraic closure of K, then they associate as usual the semigroup of the curve and numerical invariants like the number of gaps in the semigroup (singlarity degree, noted by \(\delta\) in general). They study some properties of semigroups in this particular situation. The reader interested in this topics should read the appendix by \textit{B. Teissier} to the book of \textit{O. Zariski} ``Le problème des modules pour les branches planes'' (Paris 1986; Zbl 0592.14010).
scientific article; zbMATH DE number 4021334