Weak approximation for linear systems of quadrics

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Weak Approximation for Linear Systems of Quadrics

We give local conditions at ∞ ensuring that the intersection of n quadrics in P , N ≫ n, satisfies weak approximation. Let K be a number field, V a finite-dimensional vector space over K, and W ⊂ Sym V ∗ a K-vector space of quadratic forms on V . We can regard W as a linear system of quadrics in PV , and we denote the intersection of all quadrics in the system XW . If S is a finite set of place...

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ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 2006

ISSN: 0022-314X

DOI: 10.1016/j.jnt.2005.10.002