Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11424-010-7221-y
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dc.titleProper reparametrization for inherently improper unirational varieties
dc.contributor.authorShen, L.
dc.contributor.authorChionh, E.
dc.contributor.authorGao, X.-S.
dc.contributor.authorLi, J.
dc.date.accessioned2013-07-04T07:46:38Z
dc.date.available2013-07-04T07:46:38Z
dc.date.issued2011
dc.identifier.citationShen, 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.issn10096124
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/39659
dc.description.abstractIn 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.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s11424-010-7221-y
dc.sourceScopus
dc.subjectBKK bound
dc.subjectchow form
dc.subjectimproper lattice supports
dc.subjectimproper rational parametrizations
dc.subjectreparametrization
dc.subjectsupport transformation
dc.typeArticle
dc.contributor.departmentCOMPUTER SCIENCE
dc.description.doi10.1007/s11424-010-7221-y
dc.description.sourcetitleJournal of Systems Science and Complexity
dc.description.volume24
dc.description.issue2
dc.description.page367-380
dc.identifier.isiut000289530200015
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