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RAMIFIED SURFACES IBD

MICHAEL FRIEDMAN
BIRKHäUSER
09 / 2022
9783031057212
Anglès

Sinopsi

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.áStarting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20thácentury, 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 MoishezonâÇÖs program of braid monodromy factorization.By focusing on how the research on one specific curve changed during the 20thácentury, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical 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 20thácentury, considering this curve as an intersection of several research approaches and methods. Researchers in the history of science and of mathematics as well as mathematicians will certainly find this book interesting and appealing, contributing to the growing research on the history of algebraic geometry and its changing images.

PVP
47,98€