The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems

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Authors	GREITHER Cornelius KUČERA Radan
Year of publication	2002
Type	Article in Periodical
Magazine / Source	Annales de l'Institut Fourier
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Lifted root number; Euler systems; Combinatorics; Trees
Description	The lifted root number conjecture for tamely ramified Galois extensions of odd prime degree over the rationals is proved. The main ingredients are as follows: extracting roots of some explicit circular units of the corresponding genus field (the trees are used as a bookkeeping device) and Euler systems.
Related projects:	Mathematical structures of algebra and geometry