Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: global class field theory | Statement: [Artin reciprocity law, isPartOf, global class field theory]

Target entity: global class field theory
Context triple: [Artin reciprocity law, isPartOf, global class field theory]

• A. global class field theory chosen
  Global class field theory is a branch of algebraic number theory that classifies finite abelian extensions of global fields (such as number fields) in terms of their arithmetic data, particularly via idele class groups and reciprocity maps.
• B. local class field theory
  Local class field theory is a branch of number theory that describes the abelian extensions of local fields (such as p-adic fields) in terms of their multiplicative groups via reciprocity maps.
• C. Algebraic Groups and Class Fields
  "Algebraic Groups and Class Fields" is a influential mathematical monograph that develops the deep connections between algebraic group theory and class field theory within number theory and arithmetic geometry.
• D. Artin–Tate: Class Field Theory
  Artin–Tate: Class Field Theory is a classic textbook that provides a rigorous and accessible introduction to global and local class field theory in algebraic number theory.
• E. CM fields
  CM fields are a special class of number fields with complex multiplication structure that play a central role in algebraic number theory and the explicit class field theory envisioned by Hilbert’s twelfth problem.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.