본문 바로가기
KERD
논문KCI 등재

AUTOMORPHISMS OF K3 SURFACES WITH PICARD NUMBER TWO

3

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

It is known that the automorphism group of a K3 surface with Picard number two is either an infinite cyclic group or an infinite dihedral group when it is infinite. In this paper, we study the generators of such automorphism groups. We use the eigenvector corresponding to the spectral radius of an automorphism of infinite order to determine the generators.

Abstract

It is known that the automorphism group of a K3 surface with Picard number two is either an infinite cyclic group or an infinite dihedral group when it is infinite. In this paper, we study the generators of such automorphism groups. We use the eigenvector corresponding to the spectral radius of an automorphism of infinite order to determine the generators.

참고문헌 (12)

  1. W. W. Adams, "Introduction to Number Theory" (1976), Prentice-Hall, Inc
  2. T. Andreescu, "Quadratic Diophantine Equations, Developments in Mathematics", pp.40~ (2015), Springer
  3. Serge Cantat, "Dynamique des automorphismes des surfaces projectives complexes", Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 328(10), pp.901~906 (1999), Elsevier BV[DOI]
  4. F. Galluzzi, "Automorphs of indefinite binary quadratic forms and K3-surfaces with Picard number 2", Rend. Semin. Mat. Univ. Politec. Torino, 68(1), pp.57~77 (2010)
  5. Bert van Geemen, "Nikulin involutions on K3 surfaces", Mathematische Zeitschrift, 255(4), pp.731~753 (2006), Springer Science and Business Media LLC[DOI]
  6. Kenji Hashimoto, "K3 surfaces with Picard number 2, Salem polynomials and Pell equation", Journal of Pure and Applied Algebra, 224(1), pp.432~443 (2020), Elsevier BV[DOI]
  7. Andreas Leopold Knutsen, "Smooth Curves on Projective $K3$ Surfaces", MATHEMATICA SCANDINAVICA, 90(2), pp.215~ (2002), Det Kgl. Bibliotek[DOI]
  8. J. L. Lagrange, "Solution d'un probleme d'arithm'etique, Oeuvres de Lagrange, Tome I", pp.669~731 (1867), Gauthier-Villars
  9. C. T. McMullen, "Dynamics on K3 surfaces: Salem numbers and Siegel disks", Journal für die reine und angewandte Mathematik (Crelles Journal), 2002(545) (2002), Walter de Gruyter GmbH[DOI]
  10. Shigefumi Mori, "On degrees and genera of curves on smooth quartic surfaces in P3", Nagoya Mathematical Journal, 96, pp.127~132 (1984), Cambridge University Press (CUP)[DOI]
  11. V. Nikulin, "Finite groups of automorphisms of Kahlerian K3 surfaces", Trudy Moskov. Mat. Obshch, 38, pp.75~137 (1979)
  12. V. Nikulin, "Integral symmetric bilinear forms and some of their applications", Math. USSR Izv, 14, pp.103~167 (1980)

관련 논문AI추천

이 간행물의 다른 논문 (17건)