Dolbeault Cohomology Growth under Curvature Rank Bounds 29X0B511NF
| URI | m2://res/29X0B511NF |
|---|---|
| Kind | preprint |
| Creators | Xiangsen Qin |
| Date | 2026-10-07 |
| MSC | 14-XX, 30-XX, 32-XX |
| Subjects | arxiv math.AG, arxiv math.CV |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-07 |
| Ids | arXiv 2610.09295 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Linear bound for vanishing order | statement | lemma A.1 | arxiv |
| A fixed line-bundle twist | statement | lemma 3.3 | arxiv |
| Algebraic complexity | statement | lemma 7.2 | arxiv |
| Parabolic model | statement | lemma 5.3 | arxiv |
| Holomorphic localization | statement | proposition 4.1 | arxiv |
| Serre--Siegel growth | statement | lemma A.2 | arxiv |
| Parameter integration | statement | lemma 8.1 | arxiv |
| 6YWSJEE9ZD | statement | proposition 1.1 | arxiv |
| Euler characteristic polynomial | statement | proposition 3.6 | arxiv |
| Assembly | statement | proposition 10.2 | arxiv |
| Rescaling | statement | lemma 7.4 | arxiv |
| ACQGPGN93A | problem | problem 11.3 | arxiv |
| Surfaces | statement | corollary 3.7 | arxiv |
| Bounded factorization | statement | lemma 5.1 | arxiv |
| BKEEEF65ZJ | statement | corollary 1.2 | arxiv |
| Curvature rank and section maps | statement | proposition 3.1 | arxiv |
| Restriction model through degree $q_{\max}$ | definition | definition 4.3 | arxiv |
| Dense regular points | statement | lemma 5.2 | arxiv |
| A fixed vector-bundle twist | statement | corollary 3.4 | arxiv |
| Graph refinement | statement | lemma 6.2 | arxiv |
| Product approximation | statement | lemma 6.3 | arxiv |
| Initial finite jet | statement | lemma 7.3 | arxiv |
| Composition on nested domains | statement | lemma 4.4 | arxiv |
| Scalar sections | statement | corollary 3.2 | arxiv |
| Product maps | statement | proposition 6.1 | arxiv |
| Finite-jet families | definition | definition 7.1 | arxiv |
| Recursive restriction models | statement | proposition 8.2 | arxiv |
| PKD4V6HTAM | statement | theorem A | arxiv |
| Top degree | statement | corollary 3.5 | arxiv |
| Sharpness of the section bound | example | example 11.1 | arxiv |
| A curvature kernel without continuous extension | example | example 11.2 | arxiv |
| Holomorphic restriction | statement | lemma 4.2 | arxiv |
Catalogue records
- arxiv: 2610.09295 (work)
- arxiv_text: 2610.09295 (work)