Let $\mathcal M$ be the moduli space of all smooth hypersurface of degree $d$ and dimension $n$. Is it true that $$T_{[X]} \mathcal M \cong Def(X):=H^1(X,T_X)$$ holds for any such hypersurface $X$?
Any reference about this would be helpful.
2026-03-25 09:27:38.1774430858
First order deformation isomorphic to the tangent space of moduli?
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