Abstract
Let V ⊆ 𝔸n be an affine variety. We want to define the tangent spaces to V at points of V and establish some of the basic properties satisfied by them. This needs the familiar concepts like “order of contact” of a line in 𝔸n with V at a point of V, “lines touching” V at a point, etc. We proceed as follows.
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© 2001 Hindustan Book Agency
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Musili, C. (2001). Non-Singular Varieties. In: Algebraic Geometry for Beginners. Texts and Readings in Mathematics, vol 20. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-05-7_4
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DOI: https://doi.org/10.1007/978-93-86279-05-7_4
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-66-1
Online ISBN: 978-93-86279-05-7
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