Singularities of affine equidistants: projections and contacts

Using standard methods for studying singularities of projections and of contacts, we classify the stable singularities of affine $\lambda$-equidistants of $n$-dimensional closed submanifolds of $\mathbb R^q$, for $q\leq 2n$, whenever $(2n,q)$ is a pair of nice dimensions.Comment: 18 pages, v2 (minimal changes) agrees with version to appear in Journal of Singularitie

Uniruledness of stable base loci of adjoint linear systems with and without Mori Theory

We explain how to deduce from recent results in the Minimal Model Program a general uniruledness theorem for base loci of adjoint divisors. We also show how to recover special cases by extending a technique introduced by Takayama.Comment: version 2 : improved exposition ; relaxed hypotheses on singularitie

Singularities and stable homotopy groups of spheres II

We establish a connection between Morin singularities and stable homotopy groups of spheres. This connection allows us to describe how the images of singularity strata behave around the image of a more complicated stratum.Comment: 31 pages, submitted to Journal of Singularitie