Rational Periodic Points for Degree Two Polynomial Morphisms on Projective Space

نویسنده

  • BENJAMIN HUTZ
چکیده

This article addresses the existence of Q-rational periodic points for morphisms of projective space. In particular, we construct an infinitely family of morphisms on P where each component is a degree 2 homogeneous form in N+1 variables which has a Q-periodic point of primitive period (N+1)(N+2) 2 + ̈ N−1 2 ̋ . This result is then used to show that for N large enough there exists morphisms of P with Q-rational periodic points with primitive period larger that c(k)N for any k and some constant c(k).

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تاریخ انتشار 2009