Upper semicontinuity of algebraic dimension RZDNWV9E29
| URI | m2://res/RZDNWV9E29 |
|---|---|
| Kind | preprint |
| Creators | Sheng Rao |
| Date | 2024-07-02 |
| MSC | 30-XX, 32-XX, 14-XX, 53-XX |
| Subjects | arxiv math.CV, arxiv math.AG, arxiv math.DG |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2024-07-02 |
| Ids | arXiv 2407.02022 |
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 |
|---|---|---|---|
| Moishezon deformation limit | statement | corollary 1.4 | arxiv |
| 1ZS7GVY0QX | definition | definition 1.6 | arxiv |
| Strongly Gauduchon properness | statement | lemma 2.20 | arxiv |
| 2B2KEMP8Q6 | statement | lemma 2.17 | arxiv |
| 45DPPY95SE | statement | theorem 1.1 | arxiv |
| 4DN1XYGD4G | definition | definition 2.8 | arxiv |
| 516C7NBJ1G | statement | corollary A.5 | arxiv |
| Barlet classification and fundamental cycles | statement | theorem 2.2 | arxiv |
| Local algebraic-dimension theorem | statement | theorem 2.7 | arxiv |
| Cycle compactness from a mass bound | statement | lemma 2.4 | arxiv |
| 9PM659675S | statement | lemma 2.9 | arxiv |
| Compactness of divisor components | statement | theorem 2.1 | arxiv |
| B5DRQBPNV0 | statement | corollary A.2 | arxiv |
| CZM74CRR1T | statement | lemma 2.12 | arxiv |
| Good filling | definition | definition 2.21 | arxiv |
| Good-filling inequality | statement | proposition 2.22 | arxiv |
| The local good filling | statement | proposition 2.23 | arxiv |
| HQVMQVBK16 | definition | definition 2.10 | arxiv |
| J5VXV0BWYW | statement | theorem 1.2 | arxiv |
| JT2E1NJ4SW | statement | proposition A.1 | arxiv |
| Proper mapping theorem | statement | theorem 2.5 | arxiv |
| Componentwise mass bound | statement | proposition 3.4 | arxiv |
| Constancy of the cycle class | statement | lemma 2.3 | arxiv |
| Uncountably many Moishezon fibers | statement | theorem 1.5 | arxiv |
| Coherence, semicontinuity, and base change | statement | theorem 2.13 | arxiv |
| Q6ZASXJH5J | statement | lemma 2.24 | arxiv |
| Torsion and torsion-freeness | definition | definition 2.16 | arxiv |
| RT5HGYS81Y | statement | lemma 2.11 | arxiv |
| Upper semicontinuity of algebraic dimension | statement | theorem 1.3 | arxiv |
| Cartan's theorem B | statement | theorem 2.15 | arxiv |
| TS8BTGK9F4 | statement | corollary A.4 | arxiv |
| Phase lemma | statement | lemma 3.1 | arxiv |
| VCZBBHNMYG | statement | lemma 2.6 | arxiv |
| Base change over a disc of $\partial\bar\partial$-fibers | statement | lemma 2.14 | arxiv |
| A primitive from finite-order torsion | statement | lemma 3.3 | arxiv |
| XYQ1NQ1BCG | statement | lemma 3.2 | arxiv |
| YYYZ7447FA | statement | corollary A.6 | arxiv |
| Properness of every component | statement | proposition 3.5 | arxiv |
| Discrete support and finite torsion order; cf.\ | statement | lemma 2.18 | arxiv |
| ZP0Y059MF4 | statement | lemma 2.19 | arxiv |
Catalogue records
- arxiv: 2407.02022 (work)
- arxiv_text: 2407.02022 (work)