On Germs of Finite Morphisms of Smooth Surfaces


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Pleiades Publishing, Ltd.