On the global distance between two algeb
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Michel Laurent; Dimitrios Poulakis
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Article
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2004
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Elsevier Science
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English
โ 455 KB
We prove diophantine inequalities involving various distances between two distinct algebraic points of an algebraic curve. These estimates may be viewed as extensions of classical Liouville's inequality. Our approach is based on a transcendental construction using algebraic functions. Next we apply