메뉴 건너뛰기




Volumn 235, Issue , 2005, Pages 219-250

Mahler measure for dynamical systems on ℙ1 and intersection theory on a singular arithmetic surface

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84929556504     PISSN: 07431643     EISSN: 2296505X     Source Type: Book Series    
DOI: 10.1007/0-8176-4417-2_10     Document Type: Chapter
Times cited : (20)

References (32)
  • 1
    • 0009357471 scopus 로고
    • Intersection theory of divisors on an arithmetic surface
    • S. Arakelov,“Intersection theory of divisors on an arithmetic surface”, Math. USSR Izvestija 8 (1974), p. 1167-1180.
    • (1974) Math. USSR Izvestija , vol.8 , pp. 1167-1180
    • Arakelov, S.1
  • 2
    • 0035530465 scopus 로고    scopus 로고
    • Points entiers sur les surfaces arithmétiques
    • P. Autissier,“Points entiers sur les surfaces arithmétiques”, J. Reine. Angew. Math. 531 (2001), p. 201-235.
    • (2001) J. Reine. Angew. Math , vol.531 , pp. 201-235
    • Autissier, P.1
  • 6
    • 84950357804 scopus 로고
    • Invariant sets under iteration of rational functions
    • H. Brolin,“Invariant sets under iteration of rational functions”, Ark. Mat. 6 (1965), p. 103-144.
    • (1965) Ark. Mat , vol.6 , pp. 103-144
    • Brolin, H.1
  • 7
    • 0010193961 scopus 로고    scopus 로고
    • Canonical heights on projective space
    • G. S. Call and S. Goldstine,“Canonical heights on projective space”, J. Number Theory 63 (1997), p. 211-243.
    • (1997) J. Number Theory , vol.63 , pp. 211-243
    • Call, G.S.1    Goldstine, S.2
  • 8
    • 0001591071 scopus 로고
    • Canonical heights on varieties with morphism
    • G. S. Call and J. Silverman,“Canonical heights on varieties with morphism”, Compositio Math. 89 (1993), p. 163-205.
    • (1993) Compositio Math , vol.89 , pp. 163-205
    • Call, G.S.1    Silverman, J.2
  • 9
    • 0002783111 scopus 로고
    • Le déterminant de la cohomologie
    • P. Deligne,“Le déterminant de la cohomologie”, Contemporary Mathematics 67 (1987), p. 94-177.
    • (1987) Contemporary Mathematics , vol.67 , pp. 94-177
    • Deligne, P.1
  • 15
    • 85028309959 scopus 로고    scopus 로고
    • Algebra, third ed., Springer-Verlag, New York
    • S. Lang, Algebra, third ed., Springer-Verlag, New York, 2002.
    • (2002)
    • Lang, S.1
  • 16
    • 84958429271 scopus 로고
    • Entropy properties of rational endomorphisms of the Riemann sphere
    • M. Lyubich,“Entropy properties of rational endomorphisms of the Riemann sphere”, Ergodic Theory Dynam. Systems 3 (1983), p. 351-385.
    • (1983) Ergodic Theory Dynam. Systems , vol.3 , pp. 351-385
    • Lyubich, M.1
  • 17
    • 0002994744 scopus 로고
    • An application of Jensens formula to polynomials
    • K. Mahler,“An application of Jensen’s formula to polynomials”, Mathematica 7 (1960), p. 98-100.
    • (1960) Mathematica , vol.7 , pp. 98-100
    • Mahler, K.1
  • 18
    • 0038518828 scopus 로고    scopus 로고
    • Géométrie dArakelov des Variétés Toriques et fibrés en droites intégrables
    • V. Maillot,“Géométrie d’Arakelov des Variétés Toriques et fibrés en droites intégrables”, Mémoires de la S.M.F 80 (2000).
    • (2000) Mémoires De La S.M.F , pp. 80
    • Maillot, V.1
  • 21
    • 0001947896 scopus 로고
    • Pinceaux de variété abéliennes
    • L. Moret-Bailly,“Pinceaux de variété abéliennes”, Asterisque 129 (1985).
    • (1985) Asterisque , pp. 129
    • Moret-Bailly, L.1
  • 22
    • 51249168911 scopus 로고
    • The topology of normal singularities of an algebraic surface and a criterion for simplicity
    • D. Mumford,“The topology of normal singularities of an algebraic surface and a criterion for simplicity”, Inst. Hautes Études Sci. Publ. Math. 9 (1961), p. 5-22.
    • (1961) Inst. Hautes Études Sci. Publ. Math , vol.9 , pp. 5-22
    • Mumford, D.1
  • 24
    • 0001442093 scopus 로고
    • The theory of height functions
    • (G. Cornell and J. Silverman, eds.), Springer-Verlag, New York
    • J. Silverman,“The theory of height functions”, Arithmetic geometry (G. Cornell and J. Silverman, eds.), Springer-Verlag, New York, 1986, p. 151-166.
    • (1986) Arithmetic Geometry , pp. 151-166
    • Silverman, J.1
  • 26
    • 0042841415 scopus 로고
    • Séminaire sur les pinceaux arithmétiques
    • L. Szpiro, “Séminaire sur les pinceaux arithmétiques”, Astérisque 127 (1985), p. 1-287.
    • (1985) Astérisque , vol.127 , pp. 1-287
    • Szpiro, L.1
  • 28
    • 0031538582 scopus 로고    scopus 로고
    • Equirépartition des petits points
    • L. Szpiro, E. Ullmo and S. Zhang,“Equirépartition des petits points”, Invent. Math. 127 (1997), p. 337-347.
    • (1997) Invent. Math , vol.127 , pp. 337-347
    • Szpiro, L.1    Ullmo, E.2    Zhang, S.3
  • 29
    • 84968517747 scopus 로고
    • A generalization of theorems of Faltings and Thue-Siegel-Roth- Wirsing
    • P. Vojta,“A generalization of theorems of Faltings and Thue-Siegel-Roth- Wirsing”, J. Amer. Math. Soc. 5 (1992), p. 763-804.
    • (1992) J. Amer. Math. Soc , vol.5 , pp. 763-804
    • Vojta, P.1
  • 30
    • 0001070823 scopus 로고
    • Positive line bundles on arithmetic surfaces
    • 250 Jorge Pineiro, Lucien Szpiro, and Thomas J. Tucker
    • S. Zhang,“Positive line bundles on arithmetic surfaces”, Annals of Math 136 (1992), p. 569-587. 250 Jorge Pineiro, Lucien Szpiro, and Thomas J. Tucker
    • (1992) Annals of Math , vol.136 , pp. 569-587
    • Zhang, S.1
  • 31
    • 84968468901 scopus 로고
    • Positive line bundles on arithmetic varieties
    • S. Zhang, “Positive line bundles on arithmetic varieties”, J. Amer. Math. Soc. 8 (1995), p. 187-221.
    • (1995) J. Amer. Math. Soc. , vol.8 , pp. 187-221
    • Zhang, S.1
  • 32
    • 0000027132 scopus 로고
    • Small points and adelic metrics
    • S. Zhang, “Small points and adelic metrics”, J. Algebraic Geometry 4 (1995), p. 281-300.
    • (1995) J. Algebraic Geometry , vol.4 , pp. 281-300
    • Zhang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.