Congruences for critical values of higher derivatives of twisted Hasse–Weil L-functions, III

• Published in: Mathematical proceedings of the Cambridge Philosophical Society Vol. 173; no. 2; pp. 431 - 456
• Main Authors: BLEY, WERNER, MACIAS CASTILLO, DANIEL
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.09.2022
• Subjects: Algebra; Congruences; Equality; Hypotheses; Mathematical analysis; Number theory; Numerical analysis; Prime numbers; 11G35; 11G05; 11G40

Let A be an abelian variety defined over a number field k, let p be an odd prime number and let $F/k$ be a cyclic extension of p-power degree. Under not-too-stringent hypotheses we give an interpretation of the p-component of the relevant case of the equivariant Tamagawa number conjecture in terms o...