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Results tagged with hermitian-manifolds
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user 153847
A Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each holomorphic tangent space. Hermitian manifolds were introduced by Cartan in 1922.
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Representatives of line bundle cohomology over tori
Let $V^n$ a be a $\mathbb{C}$-vector space. For $U\subset V$ a complete lattice, the holomorphic line bundles over $V/U$ are classified (see e.g. `Abelian varieties', D. Mumford) by data $(H,\alpha)$ …
