For abelian varieties over global fields with multiplication by an order, the Selmer group is the intersection of two maximal isotropic subspaces in an orthogonal, symplectic, unitary, or split unitary quadratic space.
Bak.K-theory of forms, volume 98 ofAnnals of Mathematics Studies
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Quadratic spaces and Selmer groups of abelian varieties with multiplication
For abelian varieties over global fields with multiplication by an order, the Selmer group is the intersection of two maximal isotropic subspaces in an orthogonal, symplectic, unitary, or split unitary quadratic space.