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0938-0396 oulli, Euler, Jacobi, Legendre, Abel, among others) has been the study of integrals of the form r dz l Aw(T) = -, TO W where w is an algebraic function of z. Such integrals are now called abelian. Let us examine the simplest instance of an abelian integral, one where w is defined by the polynomial earousal 发表于 2025-3-22 03:54:08
Book 1998 = 2 2 {(z,w)}. Let us complete C2 to the projective plane lP‘ = lP‘ (C) by the addition of the "line at infinity", and let us also complete the curve defined 2 by equation (1). The result will be a nonsingular closed curve E C lP‘ (which can also be viewed as a Riemann surface). Such a curve is cal绊住 发表于 2025-3-22 06:28:59
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Algebraic Geometry III978-3-662-03662-4Series ISSN 0938-0396