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Rational approximation on cubic hypersurfaces
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Rational approximation on cubic hypersurfaces
classification
math.AG
math.NT
keywords
rationalapproximationarbitrarycubiccobacomputeconjectureconstant
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We compute the constant of approximation for an arbitrary rational point on an arbitrary smooth cubic hypersurface $X$ over a number field $k$, provided that there is a $k$-rational line somewhere on $X$. In the process, we verify the Coba conjecture for $X$.
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