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hyperelliptic function - translation to russian
ALGEBRAIC CURVE THAT IS A RAMIFIED DOUBLE COVER OF THE PROJECTIVE LINE
Hyper-elliptic curve; Hyperelliptic function
hyperelliptic function
математика
гиперэллиптическая функция
hyperelliptic curve
математика
гиперэллиптическая кривая
hyperelliptic surface
ALGEBRAIC SURFACE
Quasi-hyperelliptic surface; Bielliptic surface; Bi-elliptic surface; Quasi hyperelliptic surface
математика
гиперэллиптическая поверхность
Wikipedia
Hyperelliptic curve
In algebraic geometry, a hyperelliptic curve is an algebraic curve of genus g > 1, given by an equation of the form
where f(x) is a polynomial of degree n = 2g + 1 > 4 or n = 2g + 2 > 4 with n distinct roots, and h(x) is a polynomial of degree < g + 2 (if the characteristic of the ground field is not 2, one can take h(x) = 0).A hyperelliptic function is an element of the function field of such a curve, or of the Jacobian variety on the curve; these two concepts are identical for elliptic functions, but different for hyperelliptic functions.
