On singular and supersingular invariants of Drinfeld modules

Andreas Schweizer

Annales de la Faculté des sciences de Toulouse : Mathématiques (1997)

  • Volume: 6, Issue: 2, page 319-334
  • ISSN: 0240-2963

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Schweizer, Andreas. "On singular and supersingular invariants of Drinfeld modules." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.2 (1997): 319-334. <http://eudml.org/doc/73423>.

@article{Schweizer1997,
author = {Schweizer, Andreas},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {-function; rank 2 Drinfeld modules; singular invariants; isomorphy classes; supersingular invariants},
language = {eng},
number = {2},
pages = {319-334},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On singular and supersingular invariants of Drinfeld modules},
url = {http://eudml.org/doc/73423},
volume = {6},
year = {1997},
}

TY - JOUR
AU - Schweizer, Andreas
TI - On singular and supersingular invariants of Drinfeld modules
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1997
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 2
SP - 319
EP - 334
LA - eng
KW - -function; rank 2 Drinfeld modules; singular invariants; isomorphy classes; supersingular invariants
UR - http://eudml.org/doc/73423
ER -

References

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  3. [Do] Dorman ( D.R.).— On singular moduli for rank 2 Drinfeld modules, Compositio Math.80 (1991), pp. 235-256. Zbl0744.11032MR1134255
  4. [Du] Dummit ( D.S.) . - Genus Two Hyperelliptic Drinfeld Modules over F2, in: The Arithmetic of Function Fields, Proceedings of the Workshop at the Ohio State University (June 17-26, 1991); (D. Goss, D. Hayes, M. Rosen) de Gruyter, Berlin, New York, 1992, pp. 117-129. Zbl0793.11016MR1196515
  5. [DuHa] Dummit ( D.S.) and Hayes ( D.).— Rank one Drinfeld modules on elliptic curves, Math. Comp.62, n° 206 (1994), pp. 875-883, plus 3 microfiches. Zbl0793.11017MR1218342
  6. [Ei1] Eichler ( M.).— Zur Zahlentheorie der Quaternionen-Algebren, J. Reine Angew. Math.195 (1955), pp. 127-151; Berichtigung: J. Reine Angew. Math.197 (1957), p. 220. Zbl0068.03303MR80767
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  8. [Ge1] Gekeler ( E.U.) . — Zur Arithmetik von Drinfeld-Moduln, Math. Annalen262 (1983), pp. 167-182. Zbl0536.14028MR690193
  9. [Ge2] Gekeler ( E.U.) . — Über Drinfeld'sche Modulkurven vom Hecke-Typ, Compositio Math.57 (1986), pp. 219-236. Zbl0599.14032MR827352
  10. [Ge3] Gekeler ( E.U.).— On the coefficients of Drinfeld modular forms, Invent. Math.93 (1988), pp. 667-700. Zbl0653.14012MR952287
  11. [Ge4] Gekeler ( E.U.) . — On finite Drinfeld modules, J. Algebra141 (1991), pp. 187-203. Zbl0731.11034MR1118323
  12. [Ha] Hayes ( D.).— On the reduction of rank-one Drinfeld modules, Math. Comp.57, n° 195 (1991), pp. 339-349. Zbl0732.11029MR1079021
  13. [Hu] Husemöller ( D.) . — Elliptic Curves, Springer GTM 111, BerlinHeidelbergNew York, (1987). Zbl0605.14032MR868861
  14. [Ka] Kaneko ( M.).— Supersingular j-invariants as singular moduli mod p, Osaka J. Math.26 (1989), pp. 849-855. Zbl0733.14013MR1040429
  15. [La] Lang ( S.).— Elliptic Functions, Addison-Wesley, Reading, (1973). Zbl0316.14001MR409362
  16. [McR] Macrae ( R.E.).— On Unique Factorization in Certain Rings of Algebraic Functions, J. Algebra17 (1971), pp. 243-261. Zbl0212.53302MR272762
  17. [Sch1] Schweizer ( A.).— On the Drinfeld Modular Polynomial ΦT(X,Y), J. Number Theory52 (1995), pp. 53-68. Zbl0826.11026MR1331765
  18. [Sch2] Schweizer ( A.) . — Hyperelliptic Drinfeld Modular Curves, in: Drinfeld modules, modular schemes and applications, Proceedings of a workshop at Alden Biesen (September 9-14, 1996); (J. van Geel, E.-U. Gekeler, M. van der Put, M. Reversat) World Scientific, Singapore, in press. Zbl0930.11039MR1630612

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