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Reference request: tangent space to moduli space of coherent sheaves is $\operatorname{Ext}^...

Theorem 2.6 (page 9) from Hartshorne Lectures on Deformation Theory (it seems that Hartshorne uses the same notation both for an affine scheme $D$ and its function algebra): Let $X$ be a scheme over …
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Reference request: tangent space to moduli space of coherent sheaves is $\operatorname{Ext}^...

Is there a standard reference for the fact that, in an appropriate algebraic-geometrical context, the tangent space at the point $[E]$ to the moduli space $\mathcal M$ is something like $\operatorname …
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