On the Number of Rational Points of Hypersurfaces over Finite Fields |
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| Authors: | Edoardo Ballico Antonio Cossidente |
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| Institution: | (1) Dipartimento di Matematica, Università di Trento, I-38050 Povo, TN, Italy;(2) Dipartimento di Matematica e Informatica, Università di Basilicata, I-85100 Potenza, Italy |
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| Abstract: | We prove the existence of hypersurfaces defined over finite fields having a prescribed number of  -rational points and a prescribed number of non-singular points. Moreover, some results on  -rational intersections between plane curves, lines and conics, are given.
Received: June 1, 2006. Revised: August 1, 2007. |
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| Keywords: | Primary 14G15 Secondary 14G05 |
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