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• W2294323245 endingPage "1046" @default.
• W2294323245 startingPage "1025" @default.
• W2294323245 abstract "Let $omega$ be a differential 1-form defining an algebraic foliation of codimension 1 in projective space. In this article we use commutative algebra to study the singular locus of $omega$ through its ideal of definition. Then, we expose the relation between the ideal defining the Kupka components of the singular set of $omega$ and the first order unfoldings of $omega$. Exploiting this relation, we show that the set of Kupka points of $omega$ is generically not empty. As an application of this results, we can compute the ideal of first order unfoldings for some known components of the space of foliations." @default.
• W2294323245 created "2016-06-24" @default.
• W2294323245 creator A5010435038 @default.
• W2294323245 creator A5018912700 @default.
• W2294323245 creator A5053061854 @default.
• W2294323245 date "2018-01-01" @default.
• W2294323245 modified "2023-10-04" @default.
• W2294323245 title "The Kupka scheme and unfoldings" @default.
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• W2294323245 doi "https://doi.org/10.4310/ajm.2018.v22.n6.a3" @default.
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