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: Kodaira embedding theorem | Statement: [Kunihiko Kodaira, notableWork, Kodaira embedding theorem]

Target entity: Kodaira embedding theorem
Context triple: [Kunihiko Kodaira, notableWork, Kodaira embedding theorem]

• A. Kodaira vanishing theorem
  The Kodaira vanishing theorem is a fundamental result in algebraic geometry that gives conditions under which certain cohomology groups of ample line bundles on smooth projective varieties vanish, with deep implications for the classification of complex manifolds.
• B. Hirzebruch–Riemann–Roch theorem
  The Hirzebruch–Riemann–Roch theorem is a fundamental result in algebraic geometry and topology that expresses the holomorphic Euler characteristic of a complex manifold in terms of characteristic classes, unifying and extending classical Riemann–Roch type formulas.
• C. Bochner–Kodaira–Nakano identity
  The Bochner–Kodaira–Nakano identity is a fundamental formula in complex differential geometry relating the Laplacian on differential forms to curvature terms, with key applications to vanishing theorems and Hodge theory.
• D. Lefschetz hyperplane theorem
  The Lefschetz hyperplane theorem is a fundamental result in algebraic geometry and topology that relates the topology (especially homology and homotopy groups) of a smooth projective variety to that of its hyperplane sections.
• E. Serre’s theorem on projective embeddings via ample line bundles chosen
  Serre’s theorem on projective embeddings via ample line bundles is a foundational result in algebraic geometry that characterizes when a variety can be embedded into projective space using sufficiently high tensor powers of an ample line bundle.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.