Generalised Euler characteristics of Selmer groups

DOI10.1112/plms/pdn049zbMath1167.11037arXivmath/0404431OpenAlexW3103784761WikidataQ115288132 ScholiaQ115288132MaRDI QIDQ3625058

Sarah Livia Zerbes

Publication date: 7 May 2009

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404431

zbMATH Keywords

cohomology groupsEuler characteristicIwasawa theorySelmer groups\(p\)-adic Lie groups

Mathematics Subject Classification ID

Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40) Galois cohomology (11R34)

Related Items

Euler characteristics and their congruences for multisigned Selmer groups ⋮ SELMER GROUPS AND GENERALIZED CLASS FIELD TOWERS ⋮ On order of vanishing of characteristic elements ⋮ Euler characteristic and Akashi series for Selmer groups over global function fields ⋮ Arithmetic statistics and Diophantine stability for elliptic curves ⋮ Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction ⋮ The Iwasawa main conjecture for semistable abelian varieties over function fields ⋮ A generalization of a theorem of Imai and its applications to Iwasawa theory ⋮ Statistics for Iwasawa invariants of elliptic curves ⋮ On Euler characteristics of Selmer groups for abelian varieties over global function fields ⋮ Akashi series of Selmer groups ⋮ Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\) ⋮ Arithmetic statistics and noncommutative Iwasawa theory ⋮ Euler characteristics and their congruences in the positive rank setting