On the modified ideal sheaf

Abstract

It is a sequel to (Wu in arXiv:2003.05187). In that paper, we introduce a notion called modified ideal sheaf in order to make an asymptotic estimate for the order of the cohomology group. Here we continue to a general discussion about this notion. As an application, we study the direct images associated with a pseudo-effective line bundle.

arXiv comment15 pages, comments are welcome! arXiv admin note: text overlap with arXiv:2003.05187

References in corpus (5)

• Invariance of Plurigenera
• Numerical dimension and a Kawamata-Viehweg-Nadel type vanishing theorem on compact Kähler manifolds
• Injectivity theorem for pseudo-effective line bundles and its applications
• A transcendental approach to Kollár's injectivity theorem
• An eigenvalue estimate for the $\bar{\partial }$-Laplacian associated to a nef line bundle

Cited by in corpus (1)

• An eigenvalue estimate for the $\bar{\partial }$-Laplacian associated to a nef line bundle