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

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

2011-07-20

arxiv.org/abs/1107.4128v5

Mathematics

Algebraic Geometry

19 pages

Scientific paper

Let $X$ be a smooth hypersurface of degree $d$ in $\CP^3$. By totally
algebraic calculations, we prove that on the third Demailly-Semple jet bundle
$X_3$ of $X$, the bundle $\ocal_{X_3}(1)$ is big for $d\geq 11$, and that on
the fourth Demailly-Semple jet bundle $X_4$ of $X$, the bundle $\ocal_{X_4}(1)$
is big for $d\geq 10$, improving a recent result of Diverio.

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