Geodesic
THE EQUIVALENCE OF RUBIN'S CONJECTURE AND THE ETNC/LRNC FOR CERTAIN BIQUADRATIC EXTENSIONS
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 335-353

Voir la notice de l'article provenant de la source Cambridge University Press

For an abelian extension L/K of number fields, the Equivariant Tamagawa Number Conjecture (ETNC) at s = 0, which is equivalent to the Lifted Root Number Conjecture (LRNC), implies Rubin's Conjecture by work of Burns [3]. We show that, for relative biquadratic extensions L/K satisfying a certain condition on the splitting of places, Rubin's Conjecture in turn implies the ETNC/LRNC. We conclude with some examples.
DOI : 10.1017/S0017089513000281
Mots-clés : Primary 11R42, Secondary 11R70 
BUCKINGHAM, PAUL. THE EQUIVALENCE OF RUBIN'S CONJECTURE AND THE ETNC/LRNC FOR CERTAIN BIQUADRATIC EXTENSIONS. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 335-353. doi: 10.1017/S0017089513000281
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