Abstract

such that m ≤ n and some m×m minor of the Jacobian matrix ∂(y1, . . . , ym) ∂(x1, . . . , xn) is not identically zero. In this paper we show that there exists a finite resolving system of (1). That is, we show that there are finitely many pairs of charts (U1, V1), . . . , (Ur, Vr) such that all solutions to (1) are transformed to a monomial solution in a pair (Ui, Vi) of the form y1(1) = x1(1)11 · · ·xa1n n .. ym(1) = x1(1)m1 · · ·xn(1)mn . (2)

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