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

Abstract

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 $d\ge 11$, and that on the fourth Demailly-Semple jet bundle $X_4$ of $X$, the bundle $\ocal_{X_4}(1)$ is big for $d\ge 10$, improving a recent result of Diverio.

19 pages

References in corpus (1)

• Differential Equations on Complex Projective Hypersurfaces of Low Dimension