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Volumn 140, Issue 3, 2004, Pages 567-580

Arithmetic on elliptic threefolds

Author keywords

Elliptic n fold; Frobenius trace values; Mordell Weil group; Nagao formula; Shioda Tate formula

Indexed keywords


EID: 18744379618     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0010437X03000381     Document Type: Article
Times cited : (102)

References (16)
  • 1
    • 51649172369 scopus 로고
    • La conjecture de Weil I
    • P. Deligne, La conjecture de Weil I, Publ. Math. IHES 43 (1974), 273-307.
    • (1974) Publ. Math. IHES , vol.43 , pp. 273-307
    • Deligne, P.1
  • 5
    • 0004287681 scopus 로고
    • Princeton University Press, Princeton. N.J
    • J. S. Milne. Etale cohomology (Princeton University Press, Princeton. N.J. 1980).
    • (1980) Etale cohomology
    • Milne, J.S.1
  • 9
    • 0030646965 scopus 로고    scopus 로고
    • Q(t)-rank of elliptic curves and certain limits coming from the local points
    • K. Nagao, Q(t)-rank of elliptic curves and certain limits coming from the local points, Manuscripta Math. 92 (1997), 13-32.
    • (1997) Manuscripta Math , vol.92 , pp. 13-32
    • Nagao, K.1
  • 10
    • 0032371702 scopus 로고    scopus 로고
    • On the rank of an elliptic surface
    • M. Rosen and J. Silverman. On the rank of an elliptic surface, Invent. Math. 133 (1998), 43-67.
    • (1998) Invent. Math , vol.133 , pp. 43-67
    • Rosen, M.1    Silverman, J.2
  • 11
    • 84972536382 scopus 로고
    • On elliptic modular surfaces
    • T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan 24 (1972), 20-59.
    • (1972) J. Math. Soc. Japan , vol.24 , pp. 20-59
    • Shioda, T.1
  • 12
    • 3042808466 scopus 로고    scopus 로고
    • Mordell-Weil lattices for higher genus fibration over a curve
    • New trends in algebraic-geometry Warwick, 1998, Cambridge University Press, Cambridge
    • T. Shioda, Mordell-Weil lattices for higher genus fibration over a curve, in New trends in algebraic-geometry (Warwick, 1998), London Mathematical Society Lecture Note Series, vol. 264 (Cambridge University Press, Cambridge, 1999), 359-373.
    • (1999) London Mathematical Society Lecture Note Series , vol.264 , pp. 359-373
    • Shioda, T.1
  • 13
    • 0003236499 scopus 로고
    • Advanced topics in the arithmetic of elliptic curves
    • Springer. Berlin
    • J. H. Silverman, Advanced topics in the arithmetic of elliptic curves, Graduate Texts in Mathematics, vol. 151 (Springer. Berlin. 1994).
    • (1994) Graduate Texts in Mathematics , vol.151
    • Silverman, J.H.1
  • 14
    • 43449115153 scopus 로고    scopus 로고
    • J. Tate, Algebraic cycles and poles of zeta functions, in Arithmetical Algebraic Geometry (Harper and Row, New York, 1965), 93-110.
    • J. Tate, Algebraic cycles and poles of zeta functions, in Arithmetical Algebraic Geometry (Harper and Row, New York, 1965), 93-110.
  • 15
    • 0002849852 scopus 로고
    • Algorithm, for determining the type of a singular fiber in an elliptic pencil
    • Modular functions of one variable IV, Springer, Berlin
    • J. Tate, Algorithm, for determining the type of a singular fiber in an elliptic pencil, in Modular functions of one variable IV, Lecture Notes in Mathematics, vol. 476 (Springer, Berlin, 1975).
    • (1975) Lecture Notes in Mathematics , vol.476
    • Tate, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.