GK-dimension of birationally commutative surfaces
| dc.creator | Rogalski, D. | |
| dc.date | 2007-07-24 | |
| dc.date | 2008-07-23 | |
| dc.date.accessioned | 2026-07-07T09:51:56Z | |
| dc.date.available | 2026-07-07T09:51:56Z | |
| dc.description | Let k be an algebraically closed field, let K/k be a finitely generated field extension of transcendence degree 2 with automorphism sigma, and let A be an N-graded subalgebra of Q = K[t; sigma] with A_n finite dimensional over k for all n. Then if A is big enough in Q in an appropriate sense, we prove that GKdim A = 3,4,5 or is infinite, with the exact value depending only on the geometric properties of sigma. The proof uses techniques in the birational geometry of surfaces which are of independent interest. | |
| dc.description | 26 pages, minor corrections from previous version based on referee report. To appear in Trans. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/0707.3643 | |
| dc.identifier | http://arxiv.org/abs/0707.3643 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165417 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 14A22, 14E05, 16P90, 16S38, 16W50 | |
| dc.title | GK-dimension of birationally commutative surfaces | |
| dc.type | text |