Characterizing algebraic curves with infinitely many integral points

Abstract : A classical theorem of Siegel asserts that the set of S-integral points of an algebraic curve C over a number field is finite unless C has genus 0 and at most two points at infinity. In this paper we give necessary and sufficient conditions for C to have infinitely many S-integral points.
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Submitted on : Sunday, July 12, 2009 - 4:03:48 PM
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  • HAL Id : hal-00403683, version 1
  • ARXIV : 0907.2097

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Yuri Bilu, Alvanos Paraskevas, Poulakis Dimitrios. Characterizing algebraic curves with infinitely many integral points. Journal of Number Theory, Elsevier, 2009, 5, pp.585-590. ⟨hal-00403683⟩

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