Counterexamples to Zariski’s multiplicity conjecture
What the paper claims, in its own words
Disproves Zariski's multiplicity conjecture by constructing reduced holomorphic hypersurface germs that are ambiently homeomorphic but have different multiplicities. The examples include hypersurfaces in ℂ4 with isolated critical points and multiplicities four and five.
The plain-language explainer for this entry is still coming.