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In algebraic geometry, a closed immersion i : X ↪ Y {\displaystyle i:X\hookrightarrow Y} of schemes is a regular embedding of codimension r if each point x in X has an open affine neighborhood U in Y such that the ideal of X ∩ U {\displaystyle X\cap U} is generated by a regular sequence of length r. A regular embedding of codimension one is precisely an…
The analysis highlights Local complete intersection morphisms and virtual tangent bundles, Examples and usage and Non-Noetherian case as prominent areas in the source structure around Regular embedding.
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
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The extracted context around Regular embedding shows recurring relationship patterns in the source. For example, Regular embedding → A-linear, A-module, Exposé VII, Koszul, Koszul-regular, Noetherian, SGA Another extracted example is Regular embedding → Fulton's, I/I, If Spec, S-morphism, Spec, Sym. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
displaystyle regular embedding intersection smooth complete one isbn morphism hookrightarrow schemes ideal local scheme locally grothendieck de mathematics point codimension
TTTA extracted 16 structured relationships around Regular embedding. Examples in this analysis include Regular embedding → related to Examples and usage → S-morphism and Regular embedding → related to Examples and usage → If Spec. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Regular embedding | related to Examples and usage | S-morphism | 0.60 | section |
| Regular embedding | related to Examples and usage | If Spec | 0.60 | section |
| Regular embedding | related to Examples and usage | Spec | 0.60 | section |
| Regular embedding | related to Examples and usage | Fulton's | 0.60 | section |
| Regular embedding | related to Examples and usage | I/I | 0.60 | section |
| Regular embedding | related to Examples and usage | Sym | 0.60 | section |
| Regular embedding | related to Local complete intersection morphisms and virtual tangent bundles | Notice | 0.60 | section |
| Regular embedding | related to Local complete intersection morphisms and virtual tangent bundles | EGA IV | 0.60 | section |
| Regular embedding | related to Local complete intersection morphisms and virtual tangent bundles | Grothendieck | 0.60 | section |
| Regular embedding | related to Non-Noetherian case | SGA | 0.60 | section |
| Regular embedding | related to Non-Noetherian case | Exposé VII | 0.60 | section |
| Regular embedding | related to Non-Noetherian case | Noetherian | 0.60 | section |
The concept neighborhoods around Regular embedding bring nearby vocabulary together. In this analysis, examples include Regular, Smooth and Complete. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Regular embedding, one of the stronger structural bridges in this analysis connects Regular embedding with Local complete intersection morphisms and virtual tangent bundles. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Regular embedding to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Local complete intersection morphisms and virtual tangent bundles, Examples and usage & Non-Noetherian case, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Regular embedding · EN edition · Analysis: TopicsToTalkAbout