A <Riemann surface> is a connected Hausdorff second-countable <topological surface> equipped with <coordinate charts> to open subsets of $\mathbb C$ whose transition maps are holomorphic. This is a <complex manifold> of complex <dimension> one. The atlas makes <holomorphic functions>, <meromorphic functions> and holomorphic differentials coordinate-independent notions.

Solution

Past exam of the geometry course of the University of Oxford / 2007 / B / 8 / i / Solution

 Solution (source code)