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Results tagged with nt.number-theory
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user 57994
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
votes
1
answer
195
views
odd degree $0$-cycles and rational points on a quadric hypersurface
Is it true that a smooth quadric hypersurface has a rational point if and only if it has an odd degree $0$-cycle?
I think this is true. If so, can someone give a (geometric) proof?
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