The dimension of the zeroth cohomology $H^0(C,N_{C/X})$ of the normal bundle of a curve $C$ in an ambient space $X$ counts the number of possible deformations of $C$ in $X$.
Is there any similar intuitive/geometric meaning for $H^1(C,N_{C/X})$?
2026-03-28 06:59:58.1774681198
Meaning of first cohomology of normal bundle
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