Vector bundles induced from jet schemes

Abstract

A family of holomorphic vector bundles is constructed on a complex manifold $X$. The space of the holomorphic sections of these bundles are calculated in certain cases. As an application, if $X$ is an $N$-dimensional compact Kähler manifold with holonomy group $SU(N)$, the space of holomorphic vector fields on its jet scheme $J_m(X)$ is calculated. We also prove that the space of the global sections of the chiral de Rham complex of a K3 surface is the simple $N=4$ superconformal vertex algebra with central charge $6$.

25 pages

References in corpus (2)

• Chiral de Rham complex and the half-twisted sigma-model
• Chiral Hodge cohomology and Mathieu moonshin

Cited by in corpus (2)

• Hodge-elliptic genera and how they govern K3 theories
• Chiral Hodge cohomology and Mathieu moonshin