Among Gino Fano's papers: research on three-dimensional manifolds (Q6564823)

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scientific article; zbMATH DE number 7873924
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Among Gino Fano's papers: research on three-dimensional manifolds
scientific article; zbMATH DE number 7873924

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    Among Gino Fano's papers: research on three-dimensional manifolds (English)
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    1 July 2024
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    In this article, the author retraces the studies of Gino Fano, a renowned Italian algebraic geometer active in the first half of the \(20^{\text{th}}\) century, whose importance is reflected in the fact that we now refer to varieties with an ample anticanonical system as ``Fano varieties.''\N\NThe interesting article, written in Italian, follows Gino Fano's research in chronological order, starting from his initial motivation to study rationality problems in dimension 3 -- spurred by the then-recent (now classical) results of Enriques and Castelnuovo on analogous problems in dimension 2 -- up to his later works on the irrationality of the cubic and on some other of the varieties that we now call ``Fano threefolds.''
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    Gino Fano
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    Fano threefolds
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    manuscripts
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    Italian school of algebraic geometry
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