A GROBNER BASIS CRITERION FOR BIRATIONAL EQUIVALENCE OF AFFINE VARIETIES

Authors
TANG LZ
Citation
Lz. Tang, A GROBNER BASIS CRITERION FOR BIRATIONAL EQUIVALENCE OF AFFINE VARIETIES, Journal of pure and applied algebra, 123(1-3), 1998, pp. 275-283
Citations number
8
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
123
Issue
1-3
Year of publication
1998
Pages
275 - 283
Database
ISI
SICI code
0022-4049(1998)123:1-3<275:AGBCFB>2.0.ZU;2-7
Abstract
This paper presents a Grobner basis criterion to determine whether a g iven rational map of two affine varieties is birational and if so, to compute the inverse. Also, with the help of Grobner basis, we can comp ute the image of any rational map between two affine varieties. (C) 19 98 Elsevier Science B.V.