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Volumn 96, Issue 1, 1998, Pages 37-66

On height functions on Jacobian surfaces

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EID: 0032056421     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290050053     Document Type: Article
Times cited : (6)

References (26)
  • 2
    • 0009152503 scopus 로고
    • Fonctions de Green-Arakelov, fonctions thêta et courbes de genre 2
    • Bost, J.-B.: Fonctions de Green-Arakelov, fonctions thêta et courbes de genre 2. C.R. Acad. Sci. Paris 305, 643-646 (1987)
    • (1987) C.r. Acad. Sci. Paris , vol.305 , pp. 643-646
    • Bost, J.-B.1
  • 3
    • 0002132692 scopus 로고
    • Sur le calcul explicite des "classes de Chern" des surfaces arithmétiques de genre 2
    • Bost, J.-B. and Mestre, J.-F. and Moret-Bailly, L.: Sur le calcul explicite des "classes de Chern" des surfaces arithmétiques de genre 2. Astérisque 183, 69-105 (1990)
    • (1990) Astérisque , vol.183 , pp. 69-105
    • Bost, J.-B.1    Mestre, J.-F.2    Moret-Bailly, L.3
  • 4
    • 0001591071 scopus 로고
    • Canonical heights on varieties with morphisms
    • Call, G. S. and Silverman, J. H.: Canonical heights on varieties with morphisms. Composite Math. 89, 163-205 (1993)
    • (1993) Composite Math. , vol.89 , pp. 163-205
    • Call, G.S.1    Silverman, J.H.2
  • 5
    • 0003272622 scopus 로고    scopus 로고
    • Prolegomena to a middlebrow arithmetic of curves of genus 2
    • Cambridge: Cambridge University Press
    • Cassels, J.W.S. and Flynn, E.V.: Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2. LMS Lecture Note ser., vol. 230, Cambridge: Cambridge University Press, 1996
    • (1996) LMS Lecture Note Ser. , vol.230
    • Cassels, J.W.S.1    Flynn, E.V.2
  • 6
    • 84968494137 scopus 로고
    • Computing in the Jacobian of hyperelliptic curve
    • Cantor, D.G.: Computing in the Jacobian of Hyperelliptic curve. Mathematics of Computation 48-177, 95-101 (1987)
    • (1987) Mathematics of Computation , vol.48-177 , pp. 95-101
    • Cantor, D.G.1
  • 7
    • 33646850901 scopus 로고
    • Intersection numbers of sections of elliptic surfaces
    • Cox, D.A. and Zucker, S.: Intersection numbers of sections of elliptic surfaces. Inv. math. 53, 1-44 (1979)
    • (1979) Inv. Math. , vol.53 , pp. 1-44
    • Cox, D.A.1    Zucker, S.2
  • 9
    • 84972567996 scopus 로고
    • On the jacobian varieties of the fields of elliptic modular functions
    • Doi, K.: On the jacobian varieties of the fields of elliptic modular functions. Osaka Math. J. 15, 249-256 (1963)
    • (1963) Osaka Math. J. , vol.15 , pp. 249-256
    • Doi, K.1
  • 11
    • 0004233493 scopus 로고
    • Berlin-Heidelberg-New York: Springer
    • Fulton, W.: Intersection Theory. Berlin-Heidelberg-New York: Springer, 1984
    • (1984) Intersection Theory
    • Fulton, W.1
  • 12
    • 0002024221 scopus 로고
    • Formal groups in genus two
    • Grant, D.: Formal groups in genus two. J. reine angew. Math. 411, 96-121 (1990)
    • (1990) J. Reine Angew. Math. , vol.411 , pp. 96-121
    • Grant, D.1
  • 13
    • 0003146316 scopus 로고
    • A generalization of a formula of Eisenstein
    • Grant, D.: A generalization of a formula of Eisenstein. Proc. London Math. Soc.(3) 62, 121-132 (1991)
    • (1991) Proc. London Math. Soc.(3) , vol.62 , pp. 121-132
    • Grant, D.1
  • 14
    • 0000905020 scopus 로고
    • Local heights on curves
    • (G. Cornell and J. H. Silverman, eds.), Berlin-Heidelberg-New York: Springer-Verlag
    • Gross, B.H.: Local Heights on Curves. In: Arithmetic Geometry. (G. Cornell and J. H. Silverman, eds.), Berlin-Heidelberg-New York: Springer-Verlag, 1985, pp. 327-339
    • (1985) Arithmetic Geometry , pp. 327-339
    • Gross, B.H.1
  • 15
    • 0039075022 scopus 로고
    • Conjectures in arithmetic algebraic geometry
    • Vieweg
    • Hulsbergen, W.W.J.: Conjectures in Arithmetic Algebraic Geometry. Aspects of Mathematics, Vieweg, 1992
    • (1992) Aspects of Mathematics
    • Hulsbergen, W.W.J.1
  • 17
    • 0013544504 scopus 로고
    • Modèles minimaux des courbes de genre deux
    • Liu, Q.: Modèles minimaux des courbes de genre deux. J. reine angew. Math. 453, 137-164 (1994)
    • (1994) J. Reine Angew. Math. , vol.453 , pp. 137-164
    • Liu, Q.1
  • 20
    • 34250432420 scopus 로고
    • The complete classification of fibres in pencils of curves of genus two
    • Namikawa, Y. and Ueno, K.: The complete classification of fibres in pencils of curves of genus two. Manuscripta Math. 9, 143-186 (1973)
    • (1973) Manuscripta Math. , vol.9 , pp. 143-186
    • Namikawa, Y.1    Ueno, K.2
  • 21
    • 0000843860 scopus 로고
    • Quasi-fonctions et hauteurs sur les variétés abéliennes
    • Néron, A.: Quasi-fonctions et hauteurs sur les variétés abéliennes. Ann. of Math. 82, 249-331 (1965)
    • (1965) Ann. of Math. , vol.82 , pp. 249-331
    • Néron, A.1
  • 22
    • 84972506821 scopus 로고
    • On the factors of the jacobian variety of a modular function field
    • Shimura, G.: On the factors of the jacobian variety of a modular function field. J. Math. Soc. of Japan 25, 523-544 (1973)
    • (1973) J. Math. Soc. of Japan , vol.25 , pp. 523-544
    • Shimura, G.1
  • 23
    • 0001610263 scopus 로고
    • On the periods of modular forms
    • Shimura, G.: On the periods of modular forms. Math. Ann. 229, 211-221 (1977)
    • (1977) Math. Ann. , vol.229 , pp. 211-221
    • Shimura, G.1
  • 25
    • 84968504366 scopus 로고
    • Computing heights on elliptic curves
    • Silverman, J.H.: Computing heights on elliptic curves. Mathematics of Computation 51, 339-358 (1988)
    • (1988) Mathematics of Computation , vol.51 , pp. 339-358
    • Silverman, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.