Natural Sciences, Mathematics, 2026
ON THE UNIQUENESS OF ALGEBRAIC CURVES
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Submitted: 2025-02-12
© 2026 by author(s) and The Gufo Inc.
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Abstract
It is well-known that N−1 n-independent nodes uniquely determine curve of degree n, where N=(1/2)(n+1)(n+2). We are interested in finding the minimal number of n-independent nodes determining uniquely curve of degree k≤1. In this paper we show that this number for k=n−1 is N−4.