An iterative construction for ordinary and very special hyperelliptic curves

Francis J. Sullivan

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 74, Issue: 3, page 152-155
  • ISSN: 1120-6330

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Sullivan, Francis J.. "An iterative construction for ordinary and very special hyperelliptic curves." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 74.3 (1983): 152-155. <http://eudml.org/doc/287435>.

@article{Sullivan1983,
author = {Sullivan, Francis J.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {ordinary curve; holomorphic differential; Hasse-Witt matrix; p-division points; very special curve; p-rank of Jacobian; characteristic p; hyperelliptic curves; Cartier operator},
language = {eng},
month = {3},
number = {3},
pages = {152-155},
publisher = {Accademia Nazionale dei Lincei},
title = {An iterative construction for ordinary and very special hyperelliptic curves},
url = {http://eudml.org/doc/287435},
volume = {74},
year = {1983},
}

TY - JOUR
AU - Sullivan, Francis J.
TI - An iterative construction for ordinary and very special hyperelliptic curves
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/3//
PB - Accademia Nazionale dei Lincei
VL - 74
IS - 3
SP - 152
EP - 155
LA - eng
KW - ordinary curve; holomorphic differential; Hasse-Witt matrix; p-division points; very special curve; p-rank of Jacobian; characteristic p; hyperelliptic curves; Cartier operator
UR - http://eudml.org/doc/287435
ER -

References

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  1. Cartier, P. (1957) - Une nouvelle operation sur les formes differentielles. «C. R. Acad. Science», Paris, 244, 426. Zbl0077.04502MR84497
  2. Hasse, H. and Witt, E. (1936) — Zyklische unverzweigte Erweiterungskorper von P rimzahlgrade p uber einem algebraischen Funktionenkorper der Charaketeistik p , Monathft. «Math. Phs.», 43, 477. MR1550551DOI10.1007/BF01707628
  3. Koblitz, N. (1975) — p —adic variation of the zeta—function over families of varieties defined over finite fields. «Compositio Math.», 31, 119—218. Zbl0332.14008MR414557
  4. Madden, D. (1978) - Arithmetic in Generalized Artin-Schreier Extensions of k ⁢ ( x ) . «Journ. Number Theory», 17, 303-323. Zbl0384.12008MR506641DOI10.1016/0022-314X(78)90027-6
  5. Miller, L. (1972) — Curves with Invertible Hasse—Witt Matrix. «Math. Ann.», 197, 123. MR314849
  6. Serre, J.P. (1956) - Sur la topologie des variété algebriques en characteristique p . «Symp. Int. Top. Alg.», 43. 
  7. Subrao, D. (1975) - The p —rank of Artin-Schreier curves. «Manuscripta Math.», 16, 169-193. Zbl0321.14017MR376693
  8. Yui, N. (1978) - On the Jacobian varieties of hyperelliptic curves over fields of characteristic p ⁢ 2 . «J. Algebra», 52, 378-400. Zbl0404.14008MR491717
  9. Yui, N. (1980) - On the Jacobian Variety of the Fermat Curve. «J. Algebra», 65, 1-34. Zbl0437.14015MR578793DOI10.1016/0021-8693(80)90236-7

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