∂̄-operator on (p,q)-forms; Dolbeault cohomology H^{p,q}(M) = ker(∂̄)/im(∂̄). Hodge decomposition for compact Kähler. Cech-Dolbeault isomorphism. Bridge between algebraic geometry + analysis.
∂̄-operator on (p,q)-forms; Dolbeault cohomology H^{p,q}(M) = ker(∂̄)/im(∂̄). Hodge decomposition for compact Kähler. Cech-Dolbeault isomorphism. Bridge between algebraic geometry + analysis.