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1. Identity theorem for Riemann surfaces: In mathematics, the identity theorem for Riemann surfaces is a theorem that states that a holomorphic function is completely determined by its values on any subset of its domain that has a limit point. Let \displaystyle{ X }[/math] and \displaystyle ... [100%] 2023-02-17 [Theorems in complex analysis] [Riemann surfaces]...
2. Riemann surfaces, classification of: Studies of Riemann surfaces related to the behaviour of different classes of functions on these surfaces. A complex-valued function $ f: R \rightarrow \overline{\mathbf C}\; $ on a Riemann surface $ R $ is said to be analytic on $ R $ if for ... (Mathematics) [100%] 2023-09-27
3. Riemann–Roch theorem for surfaces: In mathematics, the Riemann–Roch theorem for surfaces describes the dimension of linear systems on an algebraic surface. The classical form of it was first given by Castelnuovo (1896, 1897), after preliminary versions of it were found by Max Noether ... [89%] 2023-09-15 [Theorems in algebraic geometry] [Algebraic surfaces]...
4. Riemann surfaces, conformal classes of: Classes consisting of conformally-equivalent Riemann surfaces (cf. Riemann surface). (Mathematics) [89%] 2023-09-09