Open AccessEffective regularity criteria for analytic mappings
Author(s) -
Janusz Adamus
Publication year - 2010
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0235
Subject(s) - mathematics , gravitational singularity , algebraic number , pure mathematics , algebra over a field , fibered knot , mathematical analysis
We survey recent developments in the study of singularities of complex-analytic mappings from a local algebraic viewpoint. We present several effective criteria for various modes of regularity of complex-analytic mappings in terms of vertical components in fibred powers of the mappings.