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: Riemann–Roch type formulas | Statement: [Chern character, usedIn, Riemann–Roch type formulas]

Target entity: Riemann–Roch type formulas
Context triple: [Chern character, usedIn, Riemann–Roch type formulas]

• A. Grothendieck–Ogg–Shafarevich formula
  The Grothendieck–Ogg–Shafarevich formula is a result in arithmetic geometry that relates the Euler characteristic of an ℓ-adic sheaf on a curve over a finite field to local invariants such as conductors and ramification data.
• B. Riemann–Roch theorem chosen
  The Riemann–Roch theorem is a fundamental result in algebraic geometry and complex analysis that relates the dimension of spaces of meromorphic sections of a line bundle on a curve to topological data such as genus and degree.
• C. Riemann–Hurwitz formula
  The Riemann–Hurwitz formula is a fundamental result in algebraic geometry and complex analysis that relates the genera of two Riemann surfaces connected by a branched covering map, accounting for the ramification data.
• D. Hodge–Riemann bilinear relations
  The Hodge–Riemann bilinear relations are fundamental positivity and orthogonality conditions on the intersection form in Hodge theory that underpin results such as the hard Lefschetz theorem and the Hodge index theorem.
• E. Bott residue formula
  The Bott residue formula is a fundamental result in differential and algebraic geometry that expresses global invariants, such as characteristic numbers, as sums of local contributions at the fixed points of a holomorphic vector field or group action.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.