| | |
| | |
Stat |
Members: 3645 Articles: 2'500'096 Articles rated: 2609
19 April 2024 |
|
| | | |
|
Article overview
| |
|
Maps between non-commutative spaces | S. Paul Smith
; | Date: |
11 Sep 2002 | Subject: | Quantum Algebra; Algebraic Geometry MSC-class: 14A22 | math.QA math.AG | Abstract: | We examine maps between noncommutative projective spaces. A surjection of graded rings A-->A/J induces a closed immersion Proj(A/J)-->Proj(A). A homomorphism f:A-->B between graded rings induces an affine map U --> Proj(A) from a non-empty open subspace U of Proj(B). If A^{(n)} is the n-th Veronese subalgebra of a graded ring A there is a map Proj(A)-->Proj(A^{(n)}); we identify open subspaces on which this map is an isomorphism. Applying these results when A is (a quotient of) a weighted polynomial ring produces a non-commutative resolution of (a closed subscheme of) a weighted projective space. | Source: | arXiv, math.QA/0209134 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |