Zariski Tangent Space

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High Quality Content by WIKIPEDIA articles! In algebraic geometry, the Zariski tangent space is a construction that defines a tangent space, at a point P on an algebraic variety V (and more generally). It does not use differential calculus, being based directly on abstract algebra, and in the most concrete cases just the theory of a system of linear equations.We have two cases: L may be 0, or it may be the equation of a line. In the first case the (Zariski) tangent space to C at (0,0) is the whole plane, considered as a two-dimensional affine space. In the second case, the tangent space is that line, considered as affine space. (The question of the origin comes up, when we take P as a general point on C; it is better to say 'affine space' and then note that P is a natural origin, rather than insist directly that it is a vector space.)

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131177590
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131177590
    • Format Fachbuch
    • Titel Zariski Tangent Space
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 112
    • Genre Mathematik

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