An Injectivity Theorem

Abstract

We generalize the injectivity theorem of Esnault and Viehweg, and apply it to the structure of log canonical type divisors.

24 pages (LaTeX)

References in corpus (2)

• Basic properties of log canonical centers
• Cyclic covers and toroidal embeddings

Cited by in corpus (10)

• Injectivity theorem for pseudo-effective line bundles and its applications
• An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities
• Existence and boundedness of $n$-complements
• Versions of injectivity and extension theorems
• Injectivity theorems with multiplier ideal sheaves and their applications
• Log canonical pairs with boundaries containing ample divisors
• A new definition of analytic adjoint ideal sheaves via the residue functions of log-canonical measures I
• A logarithmic $\bar{\partial }$-equation on a compact Kähler manifold associated to a smooth divisor
• An injectivity theorem II
• Logarithmic $\partial \bar{\partial }$-lemma and several geometric applications (with an Appendix joint with Sheng Rao)