The local Hilbert symbol is the multiplicativity defect of Maslov phases γ_v(a), and the product of these defects over all places equals 1, proving Hilbert reciprocity.
Thomas,The Maslov index as a quadratic space, Math
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Reciprocity and the Maslov Phase
The local Hilbert symbol is the multiplicativity defect of Maslov phases γ_v(a), and the product of these defects over all places equals 1, proving Hilbert reciprocity.