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arXiv · 0809.3771

Test for reality of algebraic functions

S. M. Natanzon
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Abstract

In this paper is proved that a complex algebraic function on complexification of a real algebraic curve is equivalent to real algebraic function, if and only if the divisor of preimage of critical values is stable under the involution of complex conjugation.

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S. M. Natanzon. 2008-09-29. Test for reality of algebraic functions. https://arxiv.org/abs/0809.3771

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