Hilbert's Nullstellensatz and the real Nullstellensatz for modules and sheaves 87QYNZZ67Z
| URI | m2://res/87QYNZZ67Z |
|---|---|
| Kind | preprint |
| Creators | Jakob Cimprič |
| Date | 2026-10-11 |
| MSC | 14-XX, 13-XX, 16-XX |
| Subjects | arxiv math.AG, arxiv math.AC, arxiv math.RA |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-11 |
| Ids | arXiv 2610.15887, zbl_id 903208433 |
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 |
|---|---|---|---|
| Contraction | statement | lemma 9.2 | arxiv |
| Skyscraper quotients | statement | lemma 5.4 | arxiv |
| 34RFX0B94M | statement | corollary 6.8 | arxiv |
| Localization | statement | proposition 9.3 | arxiv |
| Submodule criteria | statement | proposition 2.1 | arxiv |
| Fibre Nullstellens\"atze | statement | theorem 7.1 | arxiv |
| 3VPXAKNH3C | statement | proposition 6.6 | arxiv |
| Fibre identities | statement | lemma 4.2 | arxiv |
| Clearing denominators | statement | lemma 9.1 | arxiv |
| Polynomial radial vector fields | example | example 7.2 | arxiv |
| Intersections of point kernels | statement | lemma 5.7 | arxiv |
| Stalks of maximal subsheaves | statement | corollary 10.4 | arxiv |
| 6KQZ8FEH5X | problem | problem 12.2 | arxiv |
| 6XDVB1TN6N | statement | lemma 6.1 | arxiv |
| Fibre Nullstellens\"atze | statement | theorem B | arxiv |
| Separation by maximal subsheaves | statement | proposition 6.10 | arxiv |
| 8H6GHE269P | statement | lemma 2.3 | arxiv |
| Localization and stalk criteria | statement | theorem C | arxiv |
| Multiplication by $x_0+ix_1$ on $\mathbb P^2_\R$ | example | example 11.1 | arxiv |
| Fibre Nullstellens\"atze for sheaves | statement | theorem 8.1 | arxiv |
| Geometric and stalk criteria for primeness | statement | proposition 10.2 | arxiv |
| ANAXVGR2J7 | statement | lemma 7.3 | arxiv |
| B24MB825XA | statement | theorem 6.3 | arxiv |
| C5J3JATP5Q | statement | lemma 4.4 | arxiv |
| CXJ899S1K8 | problem | problem 12.1 | arxiv |
| Stalk criterion for semireality | statement | corollary 10.5 | arxiv |
| Classification of real prime subsheaves | statement | proposition 5.3 | arxiv |
| Closure properties | statement | proposition 3.1 | arxiv |
| Prime quotients | statement | lemma 4.3 | arxiv |
| Affine sections of prime sheaves | statement | lemma 5.1 | arxiv |
| Localization criteria for prime and maximal submodules | statement | proposition 9.4 | arxiv |
| Classification of maximal subsheaves | statement | proposition 5.5 | arxiv |
| Stalk criteria | statement | proposition 10.1 | arxiv |
| Fibres and point kernels of a module | definition | definition 4.1 | arxiv |
| Annihilator criteria | statement | proposition 6.9 | arxiv |
| P9TAM5W3NP | statement | proposition 9.5 | arxiv |
| Classification of prime subsheaves | statement | proposition 5.2 | arxiv |
| Affine criteria | statement | proposition 3.2 | arxiv |
| Jacobson properties | statement | theorem A | arxiv |
| Classification of submodules | statement | theorem 4.5 | arxiv |
| S9YZ6TESP0 | definition | definition 2.5 | arxiv |
| Semiprime and semireal, but not real | example | example 7.4 | arxiv |
| Classification | statement | theorem D | arxiv |
| Prime and semiprime objects | definition | definition 2.2 | arxiv |
| VBTZ1RTQ6R | statement | lemma 6.2 | arxiv |
| YSR4F7EGQN | example | example 6.5 | arxiv |
Catalogue records
- arxiv: 2610.15887 (work)
- arxiv_text: 2610.15887 (work)
- zbmath_search: 903208433 (work)