On singular moduli for rank 2 Drinfeld modules

David R. Dorman

Compositio Mathematica (1991)

  • Volume: 80, Issue: 3, page 235-256
  • ISSN: 0010-437X

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Dorman, David R.. "On singular moduli for rank 2 Drinfeld modules." Compositio Mathematica 80.3 (1991): 235-256. <http://eudml.org/doc/90123>.

@article{Dorman1991,
author = {Dorman, David R.},
journal = {Compositio Mathematica},
keywords = {polynomial ring; finite field; prime factorization of singular invariants; Drinfeld modules},
language = {eng},
number = {3},
pages = {235-256},
publisher = {Kluwer Academic Publishers},
title = {On singular moduli for rank 2 Drinfeld modules},
url = {http://eudml.org/doc/90123},
volume = {80},
year = {1991},
}

TY - JOUR
AU - Dorman, David R.
TI - On singular moduli for rank 2 Drinfeld modules
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 80
IS - 3
SP - 235
EP - 256
LA - eng
KW - polynomial ring; finite field; prime factorization of singular invariants; Drinfeld modules
UR - http://eudml.org/doc/90123
ER -

References

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  1. 1 P. Deligne and D. Husemöller, Survey of Drinfeld Modules, Current Trends in Arithmetical Algebraic Geometry (ed. K. Ribet) Contemporary Mathematics67 (1986) American Math. Soc., Providence, Rhode Island. Zbl0627.14026MR902591
  2. 2 D.R. Dorman, Special values of the elliptic modular function and factorization formulae, J. reine und ang. Math.383 (1988), 207-220. Zbl0626.10022MR921991
  3. 3 V. Drinfeld, Elliptic Modules(Russian) Math. Sbornik94 (1974) 594-627, English translation: Math. USSR-Sbornik23 (1976) 561-592. Zbl0321.14014MR384707
  4. 4 E.-U. Gekeler, Zur Arithmetic von Drinfeld-Moduln, Math. Ann.262 (1983) 167-182. Zbl0536.14028MR690193
  5. 5 B.H. Gross, On canonical and quasi-canonical liftings, Invent. Math.84 (1986) 321-326. Zbl0597.14044MR833193
  6. 6 B.H. Gross and D.B. Zagier, On singular moduli, J. reine und ang. Math.355 (1985), 191-220. Zbl0545.10015MR772491
  7. 7 David R.Hayes, Explicit class field theory in global function fields, in (ed. G. Rota) Studies in Algebra and Number Theory, Advances in Mathematical Supplementary Studies16 (1979) 173-217, Academic Press. Zbl0476.12010MR535766
  8. 8 Toyofumi Takahashi, Good reduction of elliptic modules, J. Math. Soc. Japan34(2) (1982) 475-487. Zbl0476.14010MR659616

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