A. Płoski

most citedInvariants of plane curve singularities and Newton diagrams

5 citations · 7 across the 2 of their papers we have counts for

collaborators

Showing math.AGShow all

2 papers · 1 filter

math.AG2012★ 5 cited

Invariants of plane curve singularities and Newton diagrams

Pierrette Cassou-Noguès, Arkadiusz Płoski

We present an intersection-theoretical approach to the invariants of plane curve singularities $μ$ , $δ$ , $r$ related by the Milnor formula $2 δ = μ + r - 1$ . Using Newton transformations…

math.AG2011★ 2 cited

Semicontinuity of the Łojasiewicz exponent

Arkadiusz Ploski

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 $f$ .