I tried to compute the holomorphic sectional curvature of a hypersurface of ($\mathbb{C}^{n+1}$, std metric, i), but I failed. $$ V_{k}=\{(z_{0},...,z_{n})\in \mathbb{C}^{n+1} | \sum_{j}z_{j}^{k}=0\}- \{0\}$$ I don't know how to deal with implicit surfaces. I tried to expand the formula using $z_{j}=x_{j}+iy_{j}$, but it became messy. Could you give me an explicit formula?
2026-03-26 06:25:55.1774506355
A formula for the holomorphic sectional curvature.
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