Titlebook: Ramified Surfaces; On Branch Curves and Michael Friedman Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license

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https://doi.org/10.1007/978-3-031-05720-5Algebraic Geometry; Branch and ramification curve; The Italian school of algebraic geometry; Braid theo

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978-3-031-05719-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Ramified Surfaces978-3-031-05720-5Series ISSN 2662-2564 Series E-ISSN 2662-2572

Minutes

,1900s–1930s: Branch Curves and the Italian School of Algebraic Geometry, these beginnings—and others—into a more unified research tradition concerning the branch curve. A significant role was played by the Italian school of algebraic geometry which, between the 1890s and 1930s, contributed greatly to the research on algebraic surfaces and, as a result, to the understanding of branch curves.

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,1930s–1950s: Chisini’s Branch Curves: The Decline of the Classical Approach,ough their own choice—i.e., the choice not to follow the discussions and developements in modern algebra, partially due to the fascist regime, which isolated and in fact forbade the scientific and hence mathematical community from having contact with other communities outside of Italy—the mathematic

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Book 2022thematical research. It is in this sense that the book offers to take the branch curve as a cross-section through the history of algebraic geometry of the 20.th. century, considering this curve as an intersection of several research approaches and methods.. .Researchers in the history of science and