Arithmetic Questions Related to Rationally Connected Varieties

Tom Graber, Joe Harris, Barry Mazur, Jason Starr and Tom Graber

A chapter in The Legacy of Niels Henrik Abel, 2004, pp 531-542 from Springer

Abstract: Abstract Let X ⊂ ℙ n 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?

Keywords: Elliptic Curve; Elliptic Curf; Smooth Projective Variety; Transcendence Degree; Conic Bundle (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-642-18908-1_15

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