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.
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This article was submitted by the author simultaneously in Russian and English
Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Vol. 307, pp. 100–131.
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Kulikov, V.S. On Germs of Finite Morphisms of Smooth Surfaces. Proc. Steklov Inst. Math. 307, 85–114 (2019). https://doi.org/10.1134/S0081543819060051
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DOI: https://doi.org/10.1134/S0081543819060051