Semicontinuity of the complex singularity index

DOI10.1007/BF01076724zbMath0536.32005OpenAlexW1998546925MaRDI QIDQ791719

Alexander Varchenko

Publication date: 1983

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01076724

zbMATH Keywords

isolated critical pointgerm of a holomorphic functionsemicontinuity of index of singularity

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Local complex singularities (32S05)

Related Items

Torelli theorems for singularities, Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds

Cites Work

• The complex exponent of a singularity does not change along strata mu=const