Abstract
Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over . We show that X() is non-empty provided that X() is non-empty and X has p-adic points for every prime p.
Translated title of the contribution | Rational points in quartic hypersurfaces |
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Original language | English |
Pages (from-to) | 37 - 88 |
Number of pages | 52 |
Journal | Journal für die reine und angewandte Mathematik |
Volume | 2009, issue 629 |
DOIs | |
Publication status | Published - Apr 2009 |