9 citations · 24 across the 15 of their papers we have counts for
20 papers
A note on the plane curve singularities in positive characteristic
Evelia R. García Barroso, Arkadiusz Płoski
Given an algebroid plane curve over an algebraically closed field of characteristic we consider the Milnor number , the delta invariant and the number…
Contact exponent and the Milnor number of plane curve singularities
Evelia R. García Barroso, Arkadiusz Płoski
We investigate properties of the contact exponent (in the sense of Hironaka [Hi]) of plane algebroid curve singularities over algebraically closed fields of arbitrary characteristi…
On the Milnor formula in arbitrary characteristic
Evelia R. García Barroso, Arkadiusz Płoski
The Milnor formula relates the Milnor number , the double point number and the number of branches of a plane curve singularity. It holds over the fields of ch…
On the intersection multiplicity of plane branches
Evelia R. García Barroso, Arkadiusz Płoski
We prove an intersection formula for two plane branches in terms of their semigroups and key polynomials. Then we provide a strong version of Bayer's theorem on the set of intersec…
Łojasiewicz exponents and Farey sequences
A. B. de Felipe, E. R. García Barroso, J. Gwoździewicz +1
\noindent Let be an ideal of the ring of formal power series $\bK[[x,y]]$ with coefficients in an algebraically closed field $\bK$ of arbitrary characteristic. Let denote t…
The Milnor number of plane irreducible singularities in positive characteristic
Evelia R. García Barroso, Arkadiusz Płoski
\noindent Let resp. be the Milnor number resp. the degree of the conductor of an irreducible power series $f\in \bK[[x,y]]$, where $\bK$ is an algebraically closed fi…