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Results tagged with sheaf-theory
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user 131090
For questions about sheaves on a topological space.
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Singular cohomology to cohomology of quasi-coherent sheaf
Let $X$ be a projective nonsingular variety (integral Noetherian scheme of finite type that is proper over a field $k=\overline{k}$ such that $\Omega^1_X$ is locally free). Suppose one knows the singu …
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Is $\mathbb{C}^*$ not irreducible, or is every locally constant sheaf on $\mathbb{C}^*$ cons...
I am running into contradiction from the following set of definitions, propositions, and assumptions. Can anyone spot where I'm off?
Definition A sheaf $\mathcal{F}$ on a topological space $X$ is flas …
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Methods of sheaf theory for solving Diophantine equations
What are some examples of sheaf theory used to either provide solutions to Diophantine equations, or to state that no such solutions exist?
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Clarification on smooth de Rham theorem
I am misunderstanding something in Theorem 2.1.9 in Dimca’s Sheaves in Topology:
Let $X$ be a real smooth manifold. Then the natural morphism from the constant sheaf to the de Rham complex
$$\mathbb{R …
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