Counting points of fixed degree and bounded height on linear varieties |
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| Authors: | Martin Widmer |
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| Affiliation: | a Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland
b Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX 78712, USA |
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| Abstract: | We count points of fixed degree and bounded height on a linear projective variety defined over a number field k. If the dimension of the variety is large enough compared to the degree we derive asymptotic estimates as the height tends to infinity. This generalizes results of Thunder, Christensen and Gubler and special cases of results of Schmidt and Gao. |
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| Keywords: | 11G35 11G50 11R04 |
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