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DC poleHodnotaJazyk
dc.contributor.authorBizzarri, Michal
dc.contributor.authorLávička, Miroslav
dc.contributor.authorVršek, Jan
dc.date.accessioned2019-12-09T11:00:21Z-
dc.date.available2019-12-09T11:00:21Z-
dc.date.issued2020
dc.identifier.citationBIZZARRI, M., LÁVIČKA, M., VRŠEK, J. Computing projective equivalences of special algebraic varieties. Journal of computational and applied mathematics, 2020, roč. 367, č. MAR 15. ISSN 0377-0427.en
dc.identifier.issn0377-0427
dc.identifier.uri2-s2.0-85072192165
dc.identifier.urihttp://hdl.handle.net/11025/36088
dc.format15 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherElsevieren
dc.relation.ispartofseriesJournal Of Computational And Applied Mathematicsen
dc.rightsPlný text není přístupný.cs
dc.rights© Elsevieren
dc.titleComputing projective equivalences of special algebraic varietiesen
dc.typečlánekcs
dc.typepreprintcs
dc.typearticleen
dc.typepreprinten
dc.rights.accessclosedAccessen
dc.type.versionpublishedVersionen
dc.type.versiondraften
dc.description.abstract-translatedThis paper is devoted to the investigation of selected situations when computing projective (and other) equivalences of algebraic varieties can be efficiently solved via finding projective equivalences of finite sets of points on the projective line. In particular, we design a method that finds for two algebraic varieties X, Y from special classes an associated set of automorphisms of the projective line (the so called good candidate set) consisting of suitable candidates for the subsequent construction of possible mappings X -> Y. The functionality of the designed approach is presented for computing pro- jective equivalences of rational curves, determining projective equivalences of rational ruled surfaces, detecting affine transformations between planar algebraic curves, and computing similarities between two implicitly given algebraic surfaces. When possible, symmetries of given shapes are also discussed as special cases.en
dc.subject.translatedProjective transformationen
dc.subject.translatedSymmetryen
dc.subject.translatedRational curveen
dc.subject.translatedRational ruled surfaceen
dc.subject.translatedAlgebraic surfaceen
dc.identifier.doi10.1016/j.cam.2019.112438
dc.type.statusPeer-revieweden
dc.identifier.document-number496861400013
dc.identifier.obd43927684
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
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Preprinty / Preprints (KMA)
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