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: Bombieri–Pila theorem | Statement: [Bombieri–Pila determinant method, relatedTo, Bombieri–Pila theorem]

Target entity: Bombieri–Pila theorem
Context triple: [Bombieri–Pila determinant method, relatedTo, Bombieri–Pila theorem]

• A. Bombieri–Pila determinant method chosen
  The Bombieri–Pila determinant method is a technique in analytic and Diophantine geometry used to obtain upper bounds on the number of rational or integral points of bounded height lying on algebraic curves or more general sets.
• B. Bombieri–Lang conjecture
  The Bombieri–Lang conjecture is a major unsolved conjecture in number theory and arithmetic geometry predicting that varieties of general type over number fields have only finitely many rational points.
• C. Szemerédi–Trotter theorem
  The Szemerédi–Trotter theorem is a fundamental result in combinatorial geometry that gives near-optimal upper bounds on the number of incidences between points and lines in the plane.
• D. Ax–Katz theorem
  The Ax–Katz theorem is a result in number theory that gives precise divisibility bounds for the number of solutions to polynomial equations over finite fields, strengthening and refining the Chevalley–Warning theorem.
• E. Mason–Stothers theorem
  The Mason–Stothers theorem is a result in algebraic function theory that gives a sharp relation between the degrees of three coprime polynomials satisfying A + B = C and the number of distinct roots of their product, and serves as a polynomial analogue of the abc conjecture.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.