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: "Algebraic Geometry" | Statement: [Oscar Zariski, coWrote, "Algebraic Geometry"]

Target entity: "Algebraic Geometry"
Context triple: [Oscar Zariski, coWrote, "Algebraic Geometry"]

• A. Hartshorne Algebraic Geometry
  Hartshorne Algebraic Geometry is a foundational graduate-level textbook by Robin Hartshorne that systematically develops modern algebraic geometry using schemes and cohomology.
• B. Foundations of Algebraic Geometry
  Foundations of Algebraic Geometry is a landmark mathematical treatise that systematically developed the modern foundations of algebraic geometry and profoundly influenced the field’s subsequent evolution.
• C. Algebraic Geometry: An Introduction
  "Algebraic Geometry: An Introduction" is a foundational textbook by Jean-Daniel Perrin that provides a rigorous yet accessible entry into the modern theory of algebraic geometry.
• D. Treatises on algebraic geometry
  Treatises on algebraic geometry is a foundational multi-volume work by Henry Frederick Baker that systematically develops the theory of algebraic curves and surfaces and helped shape modern algebraic geometry.
• E. Topological Methods in Algebraic Geometry
  Topological Methods in Algebraic Geometry is a foundational mathematical monograph by Friedrich Hirzebruch that applies topological techniques, particularly characteristic classes and cobordism theory, to problems in algebraic geometry.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: "Algebraic Geometry"
Target entity description: "Algebraic Geometry" is a foundational textbook that systematically develops the modern, rigorous theory of algebraic geometry, particularly in the style shaped by Oscar Zariski’s work.

• A. Hartshorne Algebraic Geometry chosen
  Hartshorne Algebraic Geometry is a foundational graduate-level textbook by Robin Hartshorne that systematically develops modern algebraic geometry using schemes and cohomology.
• B. Foundations of Algebraic Geometry
  Foundations of Algebraic Geometry is a landmark mathematical treatise that systematically developed the modern foundations of algebraic geometry and profoundly influenced the field’s subsequent evolution.
• C. Algebraic Geometry: An Introduction
  "Algebraic Geometry: An Introduction" is a foundational textbook by Jean-Daniel Perrin that provides a rigorous yet accessible entry into the modern theory of algebraic geometry.
• D. Treatises on algebraic geometry
  Treatises on algebraic geometry is a foundational multi-volume work by Henry Frederick Baker that systematically develops the theory of algebraic curves and surfaces and helped shape modern algebraic geometry.
• E. Topological Methods in Algebraic Geometry
  Topological Methods in Algebraic Geometry is a foundational mathematical monograph by Friedrich Hirzebruch that applies topological techniques, particularly characteristic classes and cobordism theory, to problems in algebraic geometry.
• F. None of above.