SU\G(𝔸)/K·U

On elliptic curves in characteristic 2 with wild additive reduction

Andreas Schweizer

Type: Article

Publication Date: 1999-01-01

Citations: 1

DOI: https://doi.org/10.4064/aa-91-2-171-180

Abstract

Introduction. In [Ge1] Gekeler classified all elliptic curves over F2r (T ) with one rational place of multiplicative reduction (without loss of generality located at ∞), one further rational place of bad reduction (without loss of generality located at 0) and good reduction elsewhere. So these curves have conductor ∞ · T where n is a natural number (which actually can be arbitrarily large). In [Ge2] he extended his results to characteristic 3. Roughly, his strategy can be divided into four steps:

Locations

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+ Strong Weil curves over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi mathvariant="double-struck">F</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> with small conductor 2010 Andreas Schweizer

Works Cited by This (5)

Action Title Year Authors
+ PDF Chat The Arithmetic of Elliptic Curves 1986 Joseph H. Silverman
+ Jacobians of Drinfeld modular curves. 1996 Ernst-Ulrich Gekeler
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+ Highly ramified pencils of elliptic curves in characteristic 2 1997 Ernst-Ulrich Gekeler
+ FUNDAMENTAL DOMAINS OF SOME ARITHMETIC GROUPS OVER FUNCTION FIELDS 1995 Ernst-Ulrich Gekeler
UDO NONNENGARDT
+ Local and Global Ramification Properties of Elliptic Curves in Characteristics Two and Three 1999 Ernst-Ulrich Gekeler
Fachbereich Mathematik