Abstract:
Let ω 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 ω through its ideal of definition. Then, we expose the relation between the ideal defining the Kupka components of the singular set of ω and the first order unfoldings of ω. Exploiting this relation, we show that the set of Kupka points of ω is generically not empty. As an application of these results, we can compute the ideal of first order unfoldings for some known components of the space of foliations. © 2018 International Press.
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Citas:
---------- APA ----------
Massri, C., Molinuevo, A. & Quallbrunn, F.
(2018)
. The Kupka scheme and unfoldings. Asian Journal of Mathematics, 22(6), 1025-1046.
http://dx.doi.org/10.4310/AJM.2018.v22.n6.a3---------- CHICAGO ----------
Massri, C., Molinuevo, A., Quallbrunn, F.
"The Kupka scheme and unfoldings"
. Asian Journal of Mathematics 22, no. 6
(2018) : 1025-1046.
http://dx.doi.org/10.4310/AJM.2018.v22.n6.a3---------- MLA ----------
Massri, C., Molinuevo, A., Quallbrunn, F.
"The Kupka scheme and unfoldings"
. Asian Journal of Mathematics, vol. 22, no. 6, 2018, pp. 1025-1046.
http://dx.doi.org/10.4310/AJM.2018.v22.n6.a3---------- VANCOUVER ----------
Massri, C., Molinuevo, A., Quallbrunn, F. The Kupka scheme and unfoldings. Asian J. Math. 2018;22(6):1025-1046.
http://dx.doi.org/10.4310/AJM.2018.v22.n6.a3