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Ramified Surfaces: On Branch Curves and Algebraic Geometry in the 20th Century

Ramified Surfaces: On Branch Curves and Algebraic Geometry in the 20th Century

Paperback

Series: Frontiers in the History of Science

Sports GeneralGeneral MathematicsGeometry

Currently unavailable to order

ISBN10: 3031057198
ISBN13: 9783031057199
Publisher: Birkhauser
Published: Sep 28 2022
Pages: 252
Weight: 0.94
Height: 0.55 Width: 6.69 Depth: 9.61
Language: English

The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon's program of braid monodromy factorization.

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Friedman, Michael

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General Mathematics