Archivio Istituzionale della RicercaWe study smooth quadric surfaces in the Pfaffian hypersurface in P-14 parameterizing 6 x 6 skew-symmetric matrices of rank at most 4, not intersecting its singular locus. Such surfaces correspond to quadratic systems of skew-symmetric matrices of size 6 and constant rank 4, and give rise to a globally generated vector bundle E on the quadric. Weanalyse these bundles and their geometry, relating them to linear congruences in P-5.
Quadric surfaces in the Pfaffian hypersurface in ℙ14 / Boralevi, Ada; Fania, Maria Lucia; Mezzetti, Emilia. - In: LINEAR & MULTILINEAR ALGEBRA. - ISSN 0308-1087. - ELETTRONICO. - 70:19(2022), pp. 4675-4694. [10.1080/03081087.2021.1895048]
Quadric surfaces in the Pfaffian hypersurface in ℙ14
Boralevi, Ada;Mezzetti, Emilia
2022
Abstract
We study smooth quadric surfaces in the Pfaffian hypersurface in P-14 parameterizing 6 x 6 skew-symmetric matrices of rank at most 4, not intersecting its singular locus. Such surfaces correspond to quadratic systems of skew-symmetric matrices of size 6 and constant rank 4, and give rise to a globally generated vector bundle E on the quadric. Weanalyse these bundles and their geometry, relating them to linear congruences in P-5.
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Quadric surfaces in the Pfaffian hypersurface in ℙ14.pdf
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https://hdl.handle.net/11583/2962372