The $4n^2$-inequality for complete intersection singularities
  The famous $4n^2$-inequality is extended to generic complete intersection singularities: it is shown that the multiplicity of the self-intersection of a mobile linear system with a maximal singularity is higher than $4n^2\mu$, where $\mu$ is the multiplicity of the singular point. 
Aleksandr V. Pukhlikov
math.AG