Hilbert’s Tenth Problem for algebraic function fields over infinite fields of constants of positive characteristic

Alexandra Shlapentokh

doi:10.2140/pjm.2000.193.463

Hilbert’s Tenth Problem for algebraic function fields over infinite fields of constants of positive characteristic

Pacific Journal of Mathematics ◽

10.2140/pjm.2000.193.463 ◽

2000 ◽

Vol 193 (2) ◽

pp. 463-500 ◽

Cited By ~ 10

Author(s):

Alexandra Shlapentokh

Keyword(s):

Positive Characteristic ◽

Function Fields ◽

Algebraic Function ◽

Hilbert's Tenth Problem ◽

Hilbert’S Tenth Problem ◽

Algebraic Function Fields

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Elliptic curves and Hilbert’s tenth problem for algebraic function fields over real andp-adic fields

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.2005.2005.587.77 ◽

2005 ◽

Vol 2005 (587) ◽

pp. 77-143 ◽

Cited By ~ 5

Author(s):

Laurent Moret-Bailly

Keyword(s):

Elliptic Curves ◽

Function Fields ◽

Algebraic Function ◽

Hilbert's Tenth Problem ◽

Hilbert’S Tenth Problem ◽

Algebraic Function Fields

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Hilbert’s tenth problem for algebraic function fields of characteristic 2

Pacific Journal of Mathematics ◽

10.2140/pjm.2003.210.261 ◽

2003 ◽

Vol 210 (2) ◽

pp. 261-281 ◽

Cited By ~ 8

Author(s):

Kirsten Eisenträger

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Hilbert's Tenth Problem ◽

Hilbert’S Tenth Problem ◽

Algebraic Function Fields ◽

Characteristic 2

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Hilbert’s Tenth Problem for function fields of varieties over algebraically closed fields of positive characteristic

Monatshefte für Mathematik ◽

10.1007/s00605-011-0364-7 ◽

2011 ◽

Vol 168 (1) ◽

pp. 1-16

Author(s):

Kirsten Eisenträger

Keyword(s):

Positive Characteristic ◽

Function Fields ◽

Hilbert's Tenth Problem ◽

Hilbert’S Tenth Problem ◽

Closed Fields ◽

Algebraically Closed Fields

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Hilbert's Tenth Problem over function fields of positive characteristic not containing the algebraic closure of a finite field

Journal of the European Mathematical Society ◽

10.4171/jems/714 ◽

2017 ◽

Vol 19 (7) ◽

pp. 2103-2138

Author(s):

Kirsten Eisenträger ◽

Alexandra Shlapentokh

Keyword(s):

Finite Field ◽

Positive Characteristic ◽

Function Fields ◽

Algebraic Closure ◽

Hilbert's Tenth Problem ◽

Hilbert’S Tenth Problem

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Conquering inseparability: Primary decomposition and multivariate factorization over algebraic function fields of positive characteristic

Journal of Symbolic Computation ◽

10.1016/j.jsc.2005.03.002 ◽

2005 ◽

Vol 40 (3) ◽

pp. 1053-1075 ◽

Cited By ~ 11

Author(s):

Allan Steel

Keyword(s):

Positive Characteristic ◽

Function Fields ◽

Algebraic Function ◽

Primary Decomposition ◽

Algebraic Function Fields

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Algebraic function fields

The Structure of Fields - Graduate Texts in Mathematics ◽

10.1007/978-1-4757-6802-2_5 ◽

1974 ◽

pp. 97-110

Author(s):

David Winter

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields

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Algebraic Function Fields and Global Function Fields

Graduate Texts in Mathematics - Number Theory in Function Fields ◽

10.1007/978-1-4757-6046-0_5 ◽

2002 ◽

pp. 45-61

Author(s):

Michael Rosen

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Global Function ◽

Global Function Fields ◽

Algebraic Function Fields

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Algebraic function fields in two variables

Algebraic Numbers and Algebraic Functions ◽

10.1007/978-1-4899-3444-4_5 ◽

1991 ◽

pp. 176-181

Author(s):

P. M. Cohn

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields

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Algebraic Function Fields

An Invitation to Algebraic Numbers and Algebraic Functions ◽

10.1201/9780429506550-6 ◽

2020 ◽

pp. 465-566

Author(s):

Franz Halter-Koch

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields

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Algebraic function fields in two variables

Algebraic Numbers and Algebraic Functions ◽

10.1201/9781351069588-5 ◽

2018 ◽

pp. 176-181

Author(s):

P. M. Cohn

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields

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