메뉴 건너뛰기




Volumn 62, Issue 2, 1997, Pages 198-216

Duality on tori and multiplicative dependence relations

Author keywords

Abelian varieties; Geometry of numbers; Regulators

Indexed keywords


EID: 0040061937     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700000768     Document Type: Article
Times cited : (31)

References (17)
  • 1
    • 84974004745 scopus 로고
    • Minimal heights and polarizations on group varieties
    • D. Bertrand, 'Minimal heights and polarizations on group varieties', Duke Math. J. 80 (1995), 223-250.
    • (1995) Duke Math. J. , vol.80 , pp. 223-250
    • Bertrand, D.1
  • 2
    • 84972572894 scopus 로고
    • Sous-groupes algébriques de groupes algébriques commutatifs
    • D. Bertrand and P. Philippon, 'Sous-groupes algébriques de groupes algébriques commutatifs', Illinois J. Math. 32 (1988), 263-280.
    • (1988) Illinois J. Math. , vol.32 , pp. 263-280
    • Bertrand, D.1    Philippon, P.2
  • 4
    • 0040377664 scopus 로고    scopus 로고
    • Relations de dépendance linéaire entre des logarithmes de nombres algébriques
    • to appear
    • G.-L. Chen, 'Relations de dépendance linéaire entre des logarithmes de nombres algébriques', Ann. Fac. Sc. Toulouse, to appear.
    • Ann. Fac. Sc. Toulouse
    • Chen, G.-L.1
  • 5
    • 0031139080 scopus 로고    scopus 로고
    • Points de petite hauteur sur les courbes elliptiques
    • to appear
    • S. David, 'Points de petite hauteur sur les courbes elliptiques', J. Number Theory, to appear.
    • J. Number Theory
    • David, S.1
  • 6
    • 0001368257 scopus 로고
    • Analytic formulae for the regulator of a number field
    • E. Friedman, 'Analytic formulae for the regulator of a number field', Invent. Math. 98 (1989), 599-622.
    • (1989) Invent. Math. , vol.98 , pp. 599-622
    • Friedman, E.1
  • 8
    • 0000865388 scopus 로고
    • Diophantine approximation with square-free numbers
    • R. Heath-Brown, 'Diophantine approximation with square-free numbers', Math. Z. 187 (1984), 335-344.
    • (1984) Math. Z. , vol.187 , pp. 335-344
    • Heath-Brown, R.1
  • 10
    • 0040377650 scopus 로고
    • Multiplicative dependence in number fields
    • J. Loxton and A. van der Poorten, 'Multiplicative dependence in number fields', Acta Arith. 42 (1983), 291-302.
    • (1983) Acta Arith. , vol.42 , pp. 291-302
    • Loxton, J.1    Van Der Poorten, A.2
  • 11
    • 0000678440 scopus 로고
    • Periods and minimal abelian subvarieties
    • D. Masser and G. Wüstholz, 'Periods and minimal abelian subvarieties', Ann. of Math. (2) 137 (1993), 407-458.
    • (1993) Ann. of Math. (2) , vol.137 , pp. 407-458
    • Masser, D.1    Wüstholz, G.2
  • 12
    • 84957323887 scopus 로고
    • On linear and multiplicative relations
    • E. M. Matveev, 'On linear and multiplicative relations', Russian Ac. Sci. Sbornik Math. 78 (1994), 411-425.
    • (1994) Russian Ac. Sci. Sbornik Math. , vol.78 , pp. 411-425
    • Matveev, E.M.1
  • 14
    • 0004070495 scopus 로고
    • Oxford University Press, Oxford
    • D. Mumford, Abelian varieties (Oxford University Press, Oxford, 1970).
    • (1970) Abelian Varieties
    • Mumford, D.1
  • 15
    • 0039530085 scopus 로고
    • Group schemes, formal groups and p-divisible groups
    • (ed. Cornell-Silverman) Springer, Berlin
    • S. Schatz, 'Group schemes, formal groups and p-divisible groups', in: Arithmetic geometry (ed. Cornell-Silverman) (Springer, Berlin, 1986).
    • (1986) Arithmetic Geometry
    • Schatz, S.1
  • 17
    • 0002447063 scopus 로고
    • Asymptotic estimates for rational points of bounded height on flag varieties
    • J. Thunder, 'Asymptotic estimates for rational points of bounded height on flag varieties', Compositio Math. 88 (1993), 155-186.
    • (1993) Compositio Math. , vol.88 , pp. 155-186
    • Thunder, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.