An isolation theorem for the arithmetic minimum of the product of linear forms with complex coefficients

A strong isolation theorem is stated for the case of m3 pairs of complex conjugate linear forms L₁(x), ¯L₁(x), ..., L_m(x), ¯L_m(x), which define a form of degree n=2m indecomposable in 2e. This theorem is a direct analog of Skubenko's result for real linear forms 2].Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 151, pp. 5–6, 1986.