naa a22 4500 510783686 CHVBK 20180411083255.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s11856-012-0177-y doi (NATIONALLICENCE)springer-10.1007/s11856-012-0177-y On the order of an automorphism of a smooth hypersurface [Elektronische Daten] [Víctor González-Aguilera, Alvaro Liendo] In this paper we give an effective criterion as to when a positive integer q is the order of an automorphism of a smooth hypersurface of dimension n and degree d, for every d ≥ 3, n ≥ 2, (n, d) ≠ (2, 4), and gcd(q, d) = gcd(q, d − 1) = 1. This allows us to give a complete criterion in the case where q = p is a prime number. In particular, we show the following result: If X is a smooth hypersurface of dimension n and degree d admitting an automorphism of prime order p then p < (d − 1) n+1; and if p > (d − 1) n then X is isomorphic to the Klein hypersurface, n = 2 or n + 2 is prime, and p = Φ n+2(1 − d) where Φ n+2 is the (n+2)-th cyclotomic polynomial. Finally, we provide some applications to intermediate jacobians of Klein hypersurfaces. Hebrew University Magnes Press, 2013 González-Aguilera Víctor Departamento de Matemáticas, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile aut Liendo Alvaro Instituto de Matemática y Física, Universidad de Talca, Casilla 721, Talca, Chile aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 29-49 0021-2172 197:1<29 2013 197 11856 https://doi.org/10.1007/s11856-012-0177-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0177-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- González-Aguilera Víctor Departamento de Matemáticas, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile aut NATIONALLICENCE 700 1- Liendo Alvaro Instituto de Matemática y Física, Universidad de Talca, Casilla 721, Talca, Chile aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 29-49 0021-2172 197:1<29 2013 197 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer