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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 307, Pages 100–131
DOI: https://doi.org/10.4213/tm4029 (Mi tm4029) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Germs of Finite Morphisms of Smooth Surfaces

Vik. S. Kulikov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (429 kB) Citations (3)
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DOI: https://doi.org/10.4213/tm4029
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.
Received: May 14, 2019
Revised: May 19, 2019
Accepted: July 1, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 307, Pages 85–114
DOI: https://doi.org/10.1134/S0081543819060051
Bibliographic databases:
Document Type: Article
UDC: 515.172.7
Language: Russian
Citation: Vik. S. Kulikov, “On Germs of Finite Morphisms of Smooth Surfaces”, Algebra, number theory, and algebraic geometry, Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich, Trudy Mat. Inst. Steklova, 307, Steklov Mathematical Institute of RAS, Moscow, 2019, 100–131; Proc. Steklov Inst. Math., 307 (2019), 85–114
Citation in format AMSBIB
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\bookinfo Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich
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\vol 307
\pages 100--131
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
    1. Vik. S. Kulikov, “On quasi-generic covers of the projective plane”, Sb. Math., 215:2 (2024), 206–233  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Vik. S. Kulikov, “Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs”, Sb. Math., 212:9 (2021), 1304–1328  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. A. Ch. Milyunets, “Logistical flows as an element of library collection management”, Naučnye i tehničeskie biblioteki, 1:9 (2020), 78  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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