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1. Differential forms on a Riemann surface: In mathematics, differential forms on a Riemann surface are an important special case of the general theory of differential forms on smooth manifolds, distinguished by the fact that the conformal structure on the Riemann surface intrinsically defines a Hodge star ... (Conformal structure admits a Hodge dual of 1-forms without even specifying a metric) [100%] 2025-04-22 [Harmonic functions] [Riemann surfaces]...
2. Closed and exact differential forms: In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form, α, that is the exterior derivative of another differential form β. Thus, an ... [100%] 2022-10-17 [Differential forms] [Lemmas in analysis]...
3. Sheaf of logarithmic differential forms: In algebraic geometry, the sheaf of logarithmic differential p-forms \displaystyle{ \Omega^p_X(\log D) }[/math] on a smooth projective variety X along a smooth divisor \displaystyle{ D = \sum D_j }[/math] is defined and fits into the exact sequence of ... [100%] 2023-01-05 [Sheaf theory]
4. Closed and exact differential forms: In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form, α, that is the exterior derivative of another differential form β. Thus, an ... [100%] 2022-11-15 [Differential forms]