On the Demailly-Semple jet bundles of hypersurfaces in $\CP^3$

zbMATH Open1334.32010arXiv1107.4128MaRDI QIDQ3458449

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Publication date: 18 December 2015

Abstract: Let $X$ be a smooth hypersurface of degree $d$ in $C{P}^3$. By totally algebraic calculations, we prove that on the third Demailly-Semple jet bundle $X_3$ of $X$, the bundle $oca{l}_{X_3}(1)$ is big for $dgeq11$, and that on the fourth Demailly-Semple jet bundle $X_4$ of $X$, the bundle $oca{l}_{X_4}(1)$ is big for $dgeq10$, improving a recent result of Diverio.

Full work available at URL: https://arxiv.org/abs/1107.4128

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