Math Mapgenerated 2026-10-25 · a354234
PUBLIC BUILD

EX-03

the model reciprocity law — local symbols at every place multiplying to one

exemplar_kind
object
state
current
created
2026-09-15
topic
number-theory
source
../exemplars/EX-03-quadratic-reciprocity.md

Coordinatesthe base case of the reciprocity axis: the ℤ/2-valued, degree-2 instance of Artin reciprocity and the product formula

Model forArtin reciprocity, Hilbert symbols and the product formula, class field theory, the higher reciprocity laws

Quadratic reciprocity is the reciprocity law understood in the hand, and the template for the rest: a global constraint that is really the places conspiring — local symbols multiplying to one. Every deeper reciprocity (Artin, Hilbert, higher) reads as this, for a larger group or higher degree. The home for "a global fact that is the local data agreeing."

generated 2026-10-25the lab index