Titlebook: Sisters of Prometheus; Unmasking Women‘s Ac João Paulo André Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive lic

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João Paulo Andréy problem.An unpublished article of Federico Gaeta is includFederico Gaeta (1923–2007) was a Spanish algebraic geometer who was a student of Severi. He is considered to be one of the founders of linkage theory, on which he published several key papers. After many years abroad he came back to Spain i

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João Paulo Andréy that . is . to .′ if .is a codimension . complete intersection of smallest degree containing .. Gaeta showed that if . is any arithmetically Cohen-Macaulay (ACM) subscheme of codimension two then there is a finite sequence of minimal links beginning with . and arriving at a complete intersection.

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cipation. The book‘s comprehensive and integrative approach, complemented by engaging storytelling, renders it an indispensable resource for students, researchers, and general readers alike..978-3-031-57138-1978-3-031-57136-7

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give a negative answer to this question with a class of counterexamples for codimension two subschemes of projective n-space..On the other hand, we show that there . even liaison classes of non-ACM curves in projective 3-space for which every element admits a sequence of minimal links leading to a

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João Paulo Andrés . in ℙ. we have two Rao modules .. ≃⊕ ..(..(.)) of dimension ρ.(.), ρ:= (ρ1, ρ2) and an induced extension . ∈ .Ext.(.., ..) and a result of Horrocks and Rao saying that a triple .:= (.., .., .) of modules .. of finite length and an extension . as above determine a surface . up to biliaison. We pro

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João Paulo André give a negative answer to this question with a class of counterexamples for codimension two subschemes of projective n-space..On the other hand, we show that there . even liaison classes of non-ACM curves in projective 3-space for which every element admits a sequence of minimal links leading to a

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