Please use this identifier to cite or link to this item:
https://doi.org/10.1007/s11424-010-7221-y
DC Field | Value | |
---|---|---|
dc.title | Proper reparametrization for inherently improper unirational varieties | |
dc.contributor.author | Shen, L. | |
dc.contributor.author | Chionh, E. | |
dc.contributor.author | Gao, X.-S. | |
dc.contributor.author | Li, J. | |
dc.date.accessioned | 2013-07-04T07:46:38Z | |
dc.date.available | 2013-07-04T07:46:38Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Shen, L., Chionh, E., Gao, X.-S., Li, J. (2011). Proper reparametrization for inherently improper unirational varieties. Journal of Systems Science and Complexity 24 (2) : 367-380. ScholarBank@NUS Repository. https://doi.org/10.1007/s11424-010-7221-y | |
dc.identifier.issn | 10096124 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/39659 | |
dc.description.abstract | In this paper, a class of lattice supports in the lattice space Z m is found to be inherently improper because any rational parametrization from C m to C n defined on such a support is improper. The improper index for such a lattice support is defined to be the gcd of the normalized volumes of all the simplex sub-supports. The structure of an improper support S is analyzed and shrinking transformations are constructed to transform S to a proper one. For a generic rational parametrization RP defined on an improper support S, we prove that its improper index is the improper index of S and give a proper reparametrization algorithm for RP. Finally, properties for rational parametrizations defined on an improper support and with numerical coefficients are also considered. © 2011 Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s11424-010-7221-y | |
dc.source | Scopus | |
dc.subject | BKK bound | |
dc.subject | chow form | |
dc.subject | improper lattice supports | |
dc.subject | improper rational parametrizations | |
dc.subject | reparametrization | |
dc.subject | support transformation | |
dc.type | Article | |
dc.contributor.department | COMPUTER SCIENCE | |
dc.description.doi | 10.1007/s11424-010-7221-y | |
dc.description.sourcetitle | Journal of Systems Science and Complexity | |
dc.description.volume | 24 | |
dc.description.issue | 2 | |
dc.description.page | 367-380 | |
dc.identifier.isiut | 000289530200015 | |
Appears in Collections: | Staff Publications |
Show simple item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.