3 papers
math.AG2024
Deforming the weighted-homogeneous foliation, and trivializing families of semi-weighted homogeneous ICIS
Dmitry Kerner, Rodrigo Mendes
Let X_o be a weighted-homogeneous complete intersection germ in (R^N,o) or (C^N,o), with arbitrary singularities, possibly non-reduced. Take the foliation of the ambient space by w…
math.AG2024
Detecting fast vanishing loops in complex-analytic germs (and detecting germs that are inner metrically conical)
Dmitry Kerner, Rodrigo Mendes
Let X be a reduced complex-analytic germ of pure dimension n\ge2, with arbitrary singularities (not necessarily normal or complete intersection). Various homology cycles on Link_\e…
math.AG2023
Fast vanishing cycles on perturbations of complex weighted-homogeneous complete intersection germs
Dmitry Kerner, Rodrigo Mendes
Take a complex-analytic germ X in (C^N,o) with arbitrary singularity. In many cases Link[X] contains cycles that vanish faster than linearly, when Link[X] shrinks to the origin. Th…