ON THE UNIQUENESS OF ALGEBRAIC CURVES

Vahagn Bayramyan

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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.

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ON THE UNIQUENESS OF ALGEBRAIC CURVES

Abstract

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