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Dolbeault cohomology is a mathematical concept that arises in the field of complex differential geometry and algebraic geometry. It provides a way to study the properties of complex manifolds by using differential forms. In essence, Dolbeault cohomology is a specific kind of cohomology theory that is particularly suited to complex manifolds. While ordinary cohomology deals with real-valued differential forms, Dolbeault cohomology focuses specifically on complex-valued differential forms.

Ancestors (6)

  1. Cohomology theories
  2. Algebraic topology
  3. Fields of abstract algebra
  4. Fields of mathematics
  5. Mathematics
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