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: local class field theory | Statement: [Hasse–Arf theorem, context, local class field theory]

Target entity: local class field theory
Context triple: [Hasse–Arf theorem, context, local class field theory]

• A. global class field theory
  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 Fields
  "Local Fields" is a foundational mathematical text by Jean-Pierre Serre that develops the theory of local fields and their applications in number theory and algebraic geometry.
• C. Klass
  Klass is a surname most notably associated with Philip J. Klass, an American journalist and prominent UFO skeptic.
• D. Levine-Fricke Field
  Levine-Fricke Field is the home softball stadium of the University of California, Berkeley Golden Bears, located on the university’s campus in Berkeley, California.
• E. Furtwängler’s theorem in class field theory
  Furtwängler’s theorem in class field theory is a fundamental result in algebraic number theory that refines the principal ideal theorem by describing how ideal classes capitulate (become principal) in certain abelian extensions of number fields.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: local class field theory
Triple: [Hasse–Arf theorem, context, 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.

Target entity: local class field theory
Target entity description: 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.

• A. global class field theory
  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 Fields
  "Local Fields" is a foundational mathematical text by Jean-Pierre Serre that develops the theory of local fields and their applications in number theory and algebraic geometry.
• C. Klass
  Klass is a surname most notably associated with Philip J. Klass, an American journalist and prominent UFO skeptic.
• D. Levine-Fricke Field
  Levine-Fricke Field is the home softball stadium of the University of California, Berkeley Golden Bears, located on the university’s campus in Berkeley, California.
• E. Furtwängler’s theorem in class field theory
  Furtwängler’s theorem in class field theory is a fundamental result in algebraic number theory that refines the principal ideal theorem by describing how ideal classes capitulate (become principal) in certain abelian extensions of number fields.
• F. None of above. chosen