Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.04232 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909451110318080 |
|---|---|
| author | Ammar, Houari Benammar |
| author_facet | Ammar, Houari Benammar |
| contents | By applying the Chen-Jiang decomposition, we prove that the non-vanishing conjecture holds for an lc pair \((X, Δ)\), where \(X\) is an irregular variety, provided it holds for lower-dimensional varieties. In the second part, we extend the Catanese-Fujita-Kawamata decomposition to the klt case \((X, Δ)\), which leads to the existence of sections of \(K_X + Δ\) in certain situations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04232 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on the Direct Image Sheaf of Logarithmic Pluricanonical Bundles and the Non-Vanishing Conjecture Ammar, Houari Benammar Algebraic Geometry By applying the Chen-Jiang decomposition, we prove that the non-vanishing conjecture holds for an lc pair \((X, Δ)\), where \(X\) is an irregular variety, provided it holds for lower-dimensional varieties. In the second part, we extend the Catanese-Fujita-Kawamata decomposition to the klt case \((X, Δ)\), which leads to the existence of sections of \(K_X + Δ\) in certain situations. |
| title | Remarks on the Direct Image Sheaf of Logarithmic Pluricanonical Bundles and the Non-Vanishing Conjecture |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.04232 |