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A **quadratic differential** is a mathematical concept that arises primarily in the fields of complex analysis and differential geometry, often used to study the properties of Riemann surfaces and their associated geometric structures. In a more formal description, a quadratic differential on a Riemann surface can be seen as a section of the tensor product of the cotangent bundle with itself, specifically a differential form of type (2,0).

Ancestors (6)

  1. Complex manifolds
  2. Structures on manifolds
  3. Algebraic geometry
  4. Fields of mathematics
  5. Mathematics
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