Small zeros of hermitian forms over a quaternion algebra
نویسندگان
چکیده
منابع مشابه
Small Zeros of Hermitian Forms over a Quaternion Algebra
Let D be a positive definite quaternion algebra over a totally real number field K, F (X, Y ) a hermitian form in 2N variables over D, and Z a right D-vector space which is isotropic with respect to F . We prove the existence of a small-height basis for Z over D, such that F (X, X) vanishes at each of the basis vectors. This constitutes a non-commutative analogue of a theorem of Vaaler [19], an...
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Article history: Received 21 January 2009 Available online 8 July 2009 Communicated by John Cremona
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2010
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa142-3-3