JACOBIAN VARIETY OF GENERALIZED FERMAT CURVES

2016 ◽  
Vol 67 (2) ◽  
pp. 261-284 ◽  
Author(s):  
Mariela Carvacho ◽  
Rubén A. Hidalgo ◽  
Saúl Quispe
Keyword(s):  
Jacobian Variety ◽  
Fermat Curves

scholarly journals A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree

2015 ◽  
Vol 105 (4) ◽  
pp. 333-341 ◽  
Author(s):  
Ruben A. Hidalgo ◽  
Rubí E. Rodríguez
Keyword(s):  
Jacobian Variety ◽  
Prime Degree ◽  
Fermat Curves

scholarly journals On Unramified Separable Abelian p-Extensions of Function Fields I

1959 ◽  
Vol 14 ◽  
pp. 223-234 ◽  
Author(s):  
Hisasi Morikawa
Keyword(s):  
Galois Group ◽  
Function Field ◽  
Function Fields ◽  
Abelian Extension ◽  
Closed Field ◽  
Jacobian Variety ◽  
Algebraically Closed Field

Let k be an algebraically closed field of characteristic p>0. Let K/k be a function field of one variable and L/K be an unramified separable abelian extension of degree pr over K. The galois automorphisms ε1, …, εpr of L/K are naturally extended to automorphisms η(ε1), … , η(εpr) of the jacobian variety JL of L/k. If we take a svstem of p-adic coordinates on JL, we get a representation {Mp(η(εv))} of the galois group G(L/K) of L/K over p-adic integers.

Factorial Fermat curves over the rational numbers

2016 ◽  
Vol 142 (2) ◽  
pp. 285-300
Author(s):  
Peter Malcolmson ◽  
Frank Okoh ◽  
Vasuvedan Srinivas
Keyword(s):  
Rational Numbers ◽  
Fermat Curves

scholarly journals Periods of generalized Fermat curves

2021 ◽  
Vol 225 (1) ◽  
pp. 106465
Author(s):  
Yerko Torres-Nova
Keyword(s):  
Fermat Curves
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