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Arithmetic Questions Related to Rationally Connected Varieties

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The Legacy of Niels Henrik Abel

Abstract

Let X ⊂ ℙn be a nonempty variety defined over a field K. Under what combination of conditions on the geometry of X and the algebra of K can we be sure that X has a K-rational point?

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Graber, T., Harris, J., Mazur, B., Starr, J., Graber, T. (2004). Arithmetic Questions Related to Rationally Connected Varieties. In: Laudal, O.A., Piene, R. (eds) The Legacy of Niels Henrik Abel. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18908-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-18908-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

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