논문KCI 등재
AUTOMORPHISMS OF K3 SURFACES WITH PICARD NUMBER TWO
대한수학회 (The Korean Mathematical Society)|2023.11|대한수학회보 (Bulletin of the KMS)|제60권 제6호|pp. 1427-1437|DOI 10.4134/BKMS.b220371
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)
- W. W. Adams, "Introduction to Number Theory" (1976), Prentice-Hall, Inc
- T. Andreescu, "Quadratic Diophantine Equations, Developments in Mathematics", pp.40~ (2015), Springer
- 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]
- 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)
- Bert van Geemen, "Nikulin involutions on K3 surfaces", Mathematische Zeitschrift, 255(4), pp.731~753 (2006), Springer Science and Business Media LLC[DOI]
- 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]
- Andreas Leopold Knutsen, "Smooth Curves on Projective $K3$ Surfaces", MATHEMATICA SCANDINAVICA, 90(2), pp.215~ (2002), Det Kgl. Bibliotek[DOI]
- J. L. Lagrange, "Solution d'un probleme d'arithm'etique, Oeuvres de Lagrange, Tome I", pp.669~731 (1867), Gauthier-Villars
- 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]
- 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]
- V. Nikulin, "Finite groups of automorphisms of Kahlerian K3 surfaces", Trudy Moskov. Mat. Obshch, 38, pp.75~137 (1979)
- V. Nikulin, "Integral symmetric bilinear forms and some of their applications", Math. USSR Izv, 14, pp.103~167 (1980)
관련 논문AI추천
Classification of order sixteen non-symplectic automorphisms on K3 surfacesAlessandra Sarti, Dima Al Tabbaa, Shingo Taki대한수학회 · 대한수학회지2016 · 제53권 제6호Some Remarks on Non-Symplectic Automorphisms of K3 Surfaces over a Field of Odd Characteristic장준명영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호EQUIDISTRIBUTION OF PERIODIC POINTS OF SOME AUTOMORPHISMS ON K3 SURFACES이종규대한수학회 · 대한수학회보2012 · 제49권 제2호Which K3 surfaces with Picard number 19 cover an Enriques surface이광우대한수학회 · 대한수학회보2012 · 제49권 제1호ON THE DETERMINANT OF A DUAL PERIODIC SINGULAR FIBERCheng Gong, Jun Lu, Sheng-Li Tan대한수학회 · 대한수학회보2023 · 제60권 제5호Involutions on surfaces of general type with pg=0 I. The composed case신용주대한수학회 · 대한수학회논문집2013 · 제28권 제3호
이 간행물의 다른 논문 (17건)
WEAK FACTORIZATIONS OF H1(Rn) IN TERMS OF MULTILINEAR FRACTIONAL INTEGRAL OPERATOR ON VARIABLE LEBESGUE SPACESHuan Zhao, Zongguang Liupp. 1439-1451SOME ONE-DIMENSIONAL NOETHERIAN DOMAINS AND G-PROJECTIVE MODULES김환구, Kui Hu, De Chuan Zhoupp. 1453-1461ON A GENERALIZATION OF UNIT REGULAR RINGSTahire Ozenpp. 1463-1475PARTIAL SUMS AND INCLUSION RELATIONS FOR STARLIKE FUNCTIONS ASSOCIATED WITH AN EVOLUTE OF A NEPHROID CURVESumit Nagpal, Gurpreet Kaurpp. 1477-1496BREDON HOMOLOGY OF WALLPAPER GROUPSRamon Florespp. 1497-1522
