6533b822fe1ef96bd127d513

RESEARCH PRODUCT

Classification of Stable Germs by Their Local Algebras

David MondJuan J. Nuño-ballesteros

subject

Pure mathematicsMathematics::Algebraic GeometryMathematics::Complex VariablesGermSketchMathematics

description

We prove Mather’s theorem that stable germs are classified up to \(\mathscr {A}\)-equivalence by their local algebras. We sketch his calculation of the nice dimensions, together with his classification of stable germs in the nice dimensions, and prove that in the nice dimensions every stable germ is quasi-homogeneous with respect to suitable coordinates.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-3-030-34440-5_7