On the jacobian variety of some algebraic curves

Ralph Greenberg

Compositio Mathematica (1980)

  • Volume: 42, Issue: 3, page 345-359
  • ISSN: 0010-437X

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Greenberg, Ralph. "On the jacobian variety of some algebraic curves." Compositio Mathematica 42.3 (1980): 345-359. <http://eudml.org/doc/89483>.

@article{Greenberg1980,
author = {Greenberg, Ralph},
journal = {Compositio Mathematica},
keywords = {algebraic curve; Jacobian variety; group of rational points; points of p- power order},
language = {eng},
number = {3},
pages = {345-359},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {On the jacobian variety of some algebraic curves},
url = {http://eudml.org/doc/89483},
volume = {42},
year = {1980},
}

TY - JOUR
AU - Greenberg, Ralph
TI - On the jacobian variety of some algebraic curves
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 42
IS - 3
SP - 345
EP - 359
LA - eng
KW - algebraic curve; Jacobian variety; group of rational points; points of p- power order
UR - http://eudml.org/doc/89483
ER -

References

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  1. [1] E. Artin and H. Hasse: Die beiden Erganzungssatze zum Reziprozitatsgesetz der ln-ten Potenzreste im Korper der ~n-ten Finheitswurzeln. Abh. Math. Sem. Univ. Hamburg6 (1928) 146-162. Zbl54.0191.05JFM54.0191.05
  2. [2] A. Brumer: On the units of algebraic number fields. Mathematika14 (1967) 121-124. Zbl0171.01105MR220694
  3. [3] B. Gross and D. Rohrlich: Some Results on the Mordell-Weil Group of the Jacobian of the Fermat Curve. Inventiones, Math.44 (1978) 201-224. Zbl0369.14011MR491708
  4. [4] K. Iwasawa: On Zl-extensions of algebraic number fields. Ann. of Math.98 (1973) 246-326. Zbl0285.12008MR349627
  5. [5] K. Iwasawa: A note on cyclotomic fields. Inventiones Math.36 (1976) 115-123. Zbl0342.12004MR432587
  6. [6] K. Iwasawa: A note on Jacobi sums, Symposia Mathematica, Vol.15 (1975), 447-459. Zbl0324.12007MR384747
  7. [7] W. Johnson: Irregular primes and cyclotomic invariants. Math. Comp.29 (1975) 113-120. Zbl0302.10020MR376606
  8. [8] N. Koblitz and D. Rohrlich: Simple Factors in the Jacobian of a Fermat curve, (to appear in Canadian Journ. of Math.). Zbl0399.14023MR511556
  9. [9] G. Shimura and Y. Taniyama: Complex Multiplication of Abelian Varieties and its Applications to Number Theory. Tokyo, Math. Soc. Japan 1961. Zbl0112.03502MR125113
  10. [10] S. Wagstaff: The Irregular Primes to 125000. Math. Comp.32 (1978) 583-591. Zbl0377.10002MR491465

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