A birational invariant for algebraic group actions
| dc.creator | Reichstein, Zinovy | |
| dc.creator | Youssin, Boris | |
| dc.date | 2000-07-28 | |
| dc.date.accessioned | 2026-07-07T04:36:34Z | |
| dc.date.available | 2026-07-07T04:36:34Z | |
| dc.description | We construct a birational invariant for certain algebraic group actions. We use this invariant to classify linear representations of finite abelian groups up to birational equivalence, thus answering, in a special case, a question of E. B. Vinberg and giving a family of counterexamples to a related conjecture of P. I. Katsylo. We also give a new proof of a theorem of M. Lorenz on birational equivalence of quantum tori (in a slightly expanded form) by applying our invariant in the setting of PGL_n-varieties. | |
| dc.description | 23 pages, AMS LaTEX 1.1. Author-supplied dvi file available at http://ucs.orst.edu/~reichstz/pub.html | |
| dc.identifier | https://arxiv.org/abs/math/0007181 | |
| dc.identifier | http://arxiv.org/abs/math/0007181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59643 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | 14L30, 14E05, 14E15, 16A39 | |
| dc.title | A birational invariant for algebraic group actions | |
| dc.type | text |