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单词 degree-genus formula
释义
degree-genus formula

Mathematics
  • A non-singular curve in the complex projective plane (see projective space) defined by a degree d equation is a Riemann surface of genus

    g=12(d1)(d2).

    If d = 1 or 2, then g = 0, and the curve gives the Riemann sphere; and if d = 3, then g = 1, an elliptic curve which is topologically a torus.


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