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Linear equations and heights over division algebras

✍ Scribed by Christine Liebendörfer


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
389 KB
Volume
105
Category
Article
ISSN
0022-314X

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✦ Synopsis


We make a start on the investigation of ''small'' solutions to systems of homogeneous linear equations over non-commutative division algebras. In this paper we prove some upper and lower bounds for the sizes of solutions to such systems. To measure solutions and coefficient matrices we define heights which satisfy natural invariance and finiteness properties.


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