Genus growth in $\mathbb {Z}_p$-towers of function fields

Michiel Kosters; Daqing Wan

doi:10.1090/proc/13895

Genus growth in $\mathbb {Z}_p$-towers of function fields

Proceedings of the American Mathematical Society ◽

10.1090/proc/13895 ◽

2017 ◽

Vol 146 (4) ◽

pp. 1481-1494 ◽

Cited By ~ 1

Author(s):

Michiel Kosters ◽

Daqing Wan

Keyword(s):

Function Fields ◽

Towers Of Function Fields

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Selmer groups and Mordell–Weil groups of elliptic curves over towers of function fields

Compositio Mathematica ◽

10.1112/s0010437x0600217x ◽

2006 ◽

Vol 142 (05) ◽

pp. 1215-1230 ◽

Cited By ~ 6

Author(s):

Jordan S. Ellenberg

Keyword(s):

Elliptic Curves ◽

Function Fields ◽

Selmer Groups ◽

Towers Of Function Fields

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Towers of function fields over finite fields corresponding to elliptic modular curves

Finite Fields and Their Applications ◽

10.1016/j.ffa.2011.04.003 ◽

2012 ◽

Vol 18 (1) ◽

pp. 1-18 ◽

Cited By ~ 1

Author(s):

Takehiro Hasegawa ◽

Miyoko Inuzuka ◽

Takafumi Suzuki

Keyword(s):

Finite Fields ◽

Function Fields ◽

Modular Curves ◽

Towers Of Function Fields

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New Optimal Tame Towers of Function Fields over Small Finite Fields

Lecture Notes in Computer Science - Algorithmic Number Theory ◽

10.1007/3-540-45455-1_30 ◽

2002 ◽

pp. 372-389 ◽

Cited By ~ 2

Author(s):

Wen-Ching W. Li ◽

Hiren Maharaj ◽

Henning Stichtenoth ◽

Noam D. Elkies

Keyword(s):

Finite Fields ◽

Function Fields ◽

Towers Of Function Fields

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A note on towers of function fields over finite fields

Communications in Algebra ◽

10.1080/00927879808826370 ◽

1998 ◽

Vol 26 (11) ◽

pp. 3737-3741 ◽

Cited By ~ 1

Author(s):

Ferruh Özbudak ◽

Michael Thomas

Keyword(s):

Finite Fields ◽

Function Fields ◽

Towers Of Function Fields

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Asymptotically good towers of function fields with small p-rank

Finite Fields and Their Applications ◽

10.1016/j.ffa.2021.101909 ◽

2021 ◽

Vol 76 ◽

pp. 101909

Author(s):

Nurdagül Anbar ◽

Henning Stichtenoth ◽

Seher Tutdere

Keyword(s):

Function Fields ◽

Towers Of Function Fields

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Asymptotics for the genus and the number of rational places in towers of function fields over a finite field

Finite Fields and Their Applications ◽

10.1016/j.ffa.2005.04.004 ◽

2005 ◽

Vol 11 (3) ◽

pp. 434-450 ◽

Cited By ~ 2

Author(s):

Arnaldo Garcia ◽

Henning Stichtenoth

Keyword(s):

Finite Field ◽

Function Fields ◽

Rational Places ◽

Towers Of Function Fields

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Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields

Mathematical Research Letters ◽

10.4310/mrl.2007.v14.n3.a10 ◽

2007 ◽

Vol 14 (3) ◽

pp. 453-467 ◽

Cited By ~ 3

Author(s):

Douglas Ulmer

Keyword(s):

Function Fields ◽

Abelian Varieties ◽

Jacobi Sums ◽

Towers Of Function Fields

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The bounds of the Mordell-Weil ranks in cyclotomic towers of function fields

Journal of Number Theory ◽

10.1016/j.jnt.2019.01.003 ◽

2019 ◽

Vol 202 ◽

pp. 332-346

Author(s):

Yusuke Aikawa

Keyword(s):

Function Fields ◽

Towers Of Function Fields

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Recursive Towers of Function Fields over Finite Fields

Arithmetic of Finite Fields - Lecture Notes in Computer Science ◽

10.1007/978-3-642-13797-6_1 ◽

2010 ◽

pp. 1-6

Author(s):

Henning Stichtenoth

Keyword(s):

Finite Fields ◽

Function Fields ◽

Towers Of Function Fields

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On towers of function fields of Artin-Schreier type

Bulletin of the Brazilian Mathematical Society New Series ◽

10.1007/s00574-004-0008-9 ◽

2004 ◽

Vol 35 (2) ◽

pp. 151-164 ◽

Cited By ~ 3

Author(s):

Peter Beelen ◽

Arnaldo Garcia ◽

Henning Stichtenoth

Keyword(s):

Function Fields ◽

Towers Of Function Fields

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