A Note on Elliptic Curves and Galois Module Structure in Global Function Fields

A Agboola

doi:10.1353/ajm.1996.0010

A Note on Elliptic Curves and Galois Module Structure in Global Function Fields

American Journal of Mathematics ◽

10.1353/ajm.1996.0010 ◽

1996 ◽

Vol 118 (2) ◽

pp. 427-438 ◽

Cited By ~ 1

Author(s):

A Agboola

Keyword(s):

Elliptic Curves ◽

Function Fields ◽

Module Structure ◽

Galois Module ◽

Global Function ◽

Galois Module Structure ◽

Global Function Fields

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Kummer theory and Galois module structure in global function fields

Mathematische Zeitschrift ◽

10.1007/bf02571534 ◽

1991 ◽

Vol 208 (1) ◽

pp. 375-388 ◽

Cited By ~ 3

Author(s):

R. J. Chapman

Keyword(s):

Function Fields ◽

Module Structure ◽

Galois Module ◽

Global Function ◽

Galois Module Structure ◽

Global Function Fields ◽

Kummer Theory

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Abelian varieties and Galois module structure in global function fields

Mathematische Zeitschrift ◽

10.1007/bf02571951 ◽

1994 ◽

Vol 217 (1) ◽

pp. 407-419

Author(s):

A. Agboola

Keyword(s):

Function Fields ◽

Abelian Varieties ◽

Module Structure ◽

Galois Module ◽

Global Function ◽

Galois Module Structure ◽

Global Function Fields

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On ring class eigenspaces of Mordell–Weil groups of elliptic curves over global function fields

Journal of Number Theory ◽

10.1016/j.jnt.2007.11.007 ◽

2008 ◽

Vol 128 (7) ◽

pp. 2159-2184 ◽

Cited By ~ 1

Author(s):

Stefano Vigni

Keyword(s):

Elliptic Curves ◽

Function Fields ◽

Global Function ◽

Global Function Fields

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Torsion points on elliptic curves and galois module structure

Inventiones mathematicae ◽

10.1007/bf01232369 ◽

1996 ◽

Vol 123 (1) ◽

pp. 105-122 ◽

Cited By ~ 2

Author(s):

A. Agboola

Keyword(s):

Elliptic Curves ◽

Module Structure ◽

Galois Module ◽

Torsion Points ◽

Galois Module Structure

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Structure of Tate–Shafarevich groups of elliptic curves over global function fields

Kyoto Journal of Mathematics ◽

10.1215/21562261-3157730 ◽

2015 ◽

Vol 55 (4) ◽

pp. 687-772

Author(s):

M. L. Brown

Keyword(s):

Elliptic Curves ◽

Function Fields ◽

Global Function ◽

Global Function Fields

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An infinite family of elliptic curves and Galois module structure

Pacific Journal of Mathematics ◽

10.2140/pjm.1998.185.221 ◽

1998 ◽

Vol 185 (2) ◽

pp. 221-235 ◽

Cited By ~ 1

Author(s):

W. Bley ◽

M. Klebel

Keyword(s):

Elliptic Curves ◽

Infinite Family ◽

Module Structure ◽

Galois Module ◽

Galois Module Structure

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Most elliptic curves over global function fields are torsion free

Acta Arithmetica ◽

10.4064/aa210108-23-8 ◽

2021 ◽

Author(s):

Tristan Phillips

Keyword(s):

Elliptic Curves ◽

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Torsion Free

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Elliptic curves with complex multiplication and Galois module structure

Inventiones mathematicae ◽

10.1007/bf01234415 ◽

1990 ◽

Vol 99 (1) ◽

pp. 165-184 ◽

Cited By ~ 8

Author(s):

Anupam Srivastav ◽

Martin J. Taylor

Keyword(s):

Elliptic Curves ◽

Complex Multiplication ◽

Module Structure ◽

Galois Module ◽

Galois Module Structure

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Galois Module Structure of Algebraic Integers

10.1007/978-3-642-68816-4 ◽

1983 ◽

Cited By ~ 48

Author(s):

Albrecht Fröhlich

Keyword(s):

Module Structure ◽

Galois Module ◽

Algebraic Integers ◽

Galois Module Structure

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Commutative Hopf–Galois module structure of tame extensions

Journal of Algebra ◽

10.1016/j.jalgebra.2018.01.047 ◽

2018 ◽

Vol 503 ◽

pp. 389-408 ◽

Cited By ~ 1

Author(s):

Paul J. Truman

Keyword(s):

Module Structure ◽

Galois Module ◽

Galois Module Structure

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