Linear subspaces of hypersurfaces

14 Oct 2020 Beheshti Roya Riedl Eric

Let $X$ be an arbitrary smooth hypersurface in $\mathbb{C} \mathbb{P}^n$ of degree $d$. We prove the de Jong-Debarre Conjecture for $n \geq 2d-4$: the space of lines in $X$ has dimension $2n-d-3$... (read more)

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  • ALGEBRAIC GEOMETRY