On Germs of Finite Morphisms of Smooth Surfaces
- Authors: Kulikov V.S.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 307, No 1 (2019)
- Pages: 85-114
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175939
- DOI: https://doi.org/10.1134/S0081543819060051
- ID: 175939
Cite item
Abstract
Questions related to deformations of germs of finite morphisms of smooth surfaces are discussed. Four-sheeted finite cover germs F: (U, o′) → (V, o), where (U, o′) and (V, o) are two germs of smooth complex analytic surfaces, are classified up to smooth deformations. The singularity types of branch curves and the local monodromy groups of these germs are also investigated.
About the authors
Vik. S. Kulikov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: kulikov@mi-ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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