On elliptic curves in characteristic 2 with wild additive reduction

Andreas Schweizer

Acta Arithmetica (1999)

  • Volume: 91, Issue: 2, page 171-180
  • ISSN: 0065-1036

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Andreas Schweizer. "On elliptic curves in characteristic 2 with wild additive reduction." Acta Arithmetica 91.2 (1999): 171-180. <http://eudml.org/doc/207347>.

@article{AndreasSchweizer1999,
author = {Andreas Schweizer},
journal = {Acta Arithmetica},
keywords = {elliptic curves; Drinfeld modules; classification of curves},
language = {eng},
number = {2},
pages = {171-180},
title = {On elliptic curves in characteristic 2 with wild additive reduction},
url = {http://eudml.org/doc/207347},
volume = {91},
year = {1999},
}

TY - JOUR
AU - Andreas Schweizer
TI - On elliptic curves in characteristic 2 with wild additive reduction
JO - Acta Arithmetica
PY - 1999
VL - 91
IS - 2
SP - 171
EP - 180
LA - eng
KW - elliptic curves; Drinfeld modules; classification of curves
UR - http://eudml.org/doc/207347
ER -

References

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  1. [Ge1] E.-U. Gekeler, Highly ramified pencils of elliptic curves in characteristic two, Duke Math. J. 89 (1997), 95-107. 
  2. [Ge2] E.-U. Gekeler, Local and global ramification properties of elliptic curves in characteristics two and three, in: Algorithmic Algebra and Number Theory, B. H. Matzat, G.-M. Greuel and G. Hiß (eds.), Springer, 1998, 49-64. 
  3. [G&N] E.-U. Gekeler and U. Nonnengardt, Fundamental domains of some arithmetic groups over function fields, Internat. J. Math. 6 (1995), 689-708. Zbl0858.11025
  4. [G&R] E.-U. Gekeler and M. Reversat, Jacobians of Drinfeld modular curves, J. Reine Angew. Math. 476 (1996), 27-93. Zbl0848.11029
  5. [Ray] M. Raynaud, Mauvaise réduction des courbes et p-rang, C. R. Acad. Sci. Paris 319 (1994), 1279-1282. 
  6. [Sch1] A. Schweizer, Hyperelliptic Drinfeld modular curves, in: Drinfeld Modules, Modular Schemes and Applications, E.-U. Gekeler, M. van der Put, M. Reversat and J. Van Geel (eds.), World Sci., Singapore, 1997, 330-343. Zbl0930.11039
  7. [Sch2] A. Schweizer, On elliptic curves over function fields of characteristic two, submitted. 
  8. [Si] J. H. Silverman, The Arithmetic of Elliptic Curves, Grad. Texts in Math. 106, Springer, 1986. 
  9. [Ta] J. Tate, Algorithm for determing the type of a singular fiber in an elliptic pencil, in: Modular Functions of One Variable IV, Lecture Notes in Math. 476, Springer, 1975, 33-52. 

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