Maps between non-commutative spaces
| dc.creator | Smith, S. Paul | |
| dc.date | 2002-09-11 | |
| dc.date.accessioned | 2026-07-07T04:50:47Z | |
| dc.date.available | 2026-07-07T04:50:47Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0209134 | |
| dc.identifier | http://arxiv.org/abs/math/0209134 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64917 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14A22 | |
| dc.title | Maps between non-commutative spaces | |
| dc.type | text |