Tangent Bundle of ℙ2 and Morphism from ℙ2 to Gr(2, ℂ4)

A. El Mazouni () and D. S. Nagaraj ()
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A. El Mazouni: Faculté des Sciences Jean Perrin, Laboratoire de Mathématiques de Lens EA 2462
D. S. Nagaraj: C.I.T. campus, Institute of Mathematical Sciences (HBNI)

A chapter in Analytic and Algebraic Geometry, 2017, pp 117-123 from Springer

Abstract: Abstract In this note we study the image of ℙ2 in Gr(2, ℂ4) given by tangent bundle of ℙ2. We show that there is component ℋ of the Hibert scheme of surfaces in Gr(2, ℂ4) with no point of it corresponds to a smooth surface.

Keywords: Projective plane; Tangent bundle; Morphisms; Grassmannian (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-5648-2_8

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DOI: 10.1007/978-981-10-5648-2_8

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