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Beitrage zur Algebra und Geometrie
Volumn 46, Issue 1, 2005, Pages 125-130
About the group law for the Jacobi variety of a hyperelliptic curve
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EID: 20844459001     PISSN: 01384821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)
References (12)
  • 1
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    • Computing in the Jacobian of a hyperelliptic curve
    • Zbl 0613.14022
    • Cantor, D. G.: Computing in the Jacobian of a hyperelliptic curve. Mathematics of Computation 48, 177 (1987), 95-101. Zbl 0613.14022
    • (1987) Mathematics of Computation , vol.48 , Issue.177 , pp. 95-101
    • Cantor, D.G.1
  • 2
    • 0001915970 scopus 로고
    • The Mordell- Weil group of curves of genus 2
    • Arithmetic and geometry. Pap. dedic. I. R. Shafarevich, Zbl 0529.14015
    • Cassels, J. W. S.: The Mordell- Weil group of curves of genus 2. Arithmetic and geometry. Pap. dedic. I. R. Shafarevich, Vol. I: Arithmetic. Prog. Math. 35 (1983), 27-60. Zbl 0529.14015
    • (1983) Arithmetic. Prog. Math. , vol.1-35 , pp. 27-60
    • Cassels, J.W.S.1
  • 3
    • 0002024221 scopus 로고
    • Formal groups in genus two
    • Zbl 0702.14025
    • Grant, D.: Formal groups in genus two. J. Reine Angew. Math. 411 (1990), 96-121. Zbl 0702.14025
    • (1990) J. Reine Angew. Math. , vol.411 , pp. 96-121
    • Grant, D.1
  • 4
    • 0000266838 scopus 로고
    • Efficient algorithms for the riemann-roch problem and for addition in the Jacobian of a curve
    • Zbl 0842.68041
    • Huang, M.-D.; Ierardi, D.: Efficient Algorithms for the Riemann-Roch Problem and for Addition in the Jacobian of a Curve. J. Symb. Comput. 18 (1994), 519-539. Zbl 0842.68041
    • (1994) J. Symb. Comput. , vol.18 , pp. 519-539
    • Huang, M.-D.1    Ierardi, D.2
  • 5
    • 8744304139 scopus 로고
    • Über die Darstellung einer Reihe gegebener Werthe durch eine gebrochne rationale Function
    • Crelle's J., ERAM 030.0858cj
    • Jacobi, C. G. J.: Über die Darstellung einer Reihe gegebener Werthe durch eine gebrochne rationale Function. Crelle's J., J. Reine Angew. Math. 30 (1846), 127-156. ERAM 030.0858cj
    • (1846) J. Reine Angew. Math. , vol.30 , pp. 127-156
    • Jacobi, C.G.J.1
  • 8
    • 84968496817 scopus 로고
    • Arithmetic on curves
    • Mazur, B.: Arithmetic on curves. Bull. AMS 14 (1886), 207-259.
    • (1886) Bull. AMS , vol.14 , pp. 207-259
    • Mazur, B.1
  • 9
    • 0003983437 scopus 로고
    • Birkhäuser, Boston 1994.1 (1983): Zbl 0509.14049 II (1984): Zbl 0549.14014 III Mumford et al. Zbl 0744.14033
    • Mumford, D.: Tata lectures on theta. Birkhäuser, Boston 1994.1 (1983): Zbl 0509.14049 II (1984): Zbl 0549.14014 III Mumford et al. (1991) Zbl 0744.14033
    • (1991) Tata Lectures on Theta
    • Mumford, D.1
  • 10
    • 0011619779 scopus 로고
    • Geometrische Deutung der Additionstheoreme der hyperelliptischen Integrale und Functionen erster Ordnung im System der confocalen Flächen zweiten Grades
    • JFM 16.0423.02
    • Staude, O.: Geometrische Deutung der Additionstheoreme der hyperelliptischen Integrale und Functionen erster Ordnung im System der confocalen Flächen zweiten Grades. Math. Ann. 22 (1883), 1-69, 145-176. JFM 16.0423.02
    • (1883) Math. Ann. , vol.22 , pp. 1-69
    • Staude, O.1
  • 11
    • 85028812500 scopus 로고
    • Computing in the Jacobian of a plane algebraic curve
    • ANTS-I Zbl 0826.14040
    • Volcheck, E. J.: Computing in the Jacobian of a Plane Algebraic Curve. In: ANTS-I, Springer LNCS 877 (1994), 221-233. Zbl 0826.14040
    • (1994) Springer LNCS , vol.877 , pp. 221-233
    • Volcheck, E.J.1
  • 12
    • 0032056421 scopus 로고    scopus 로고
    • On height functions on Jacobian surfaces
    • Zbl 0926.14013
    • Yoshitomi, K.: On height functions on Jacobian surfaces. Manuscr. Math. 96 (1998), 37-66. Zbl 0926.14013
    • (1998) Manuscr. Math. , vol.96 , pp. 37-66
    • Yoshitomi, K.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.