Matches in SemOpenAlex for { <https://semopenalex.org/work/W2278698977> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W2278698977 endingPage "91" @default.
- W2278698977 startingPage "83" @default.
- W2278698977 abstract "Summary There is a mode of specialising a quartic polynomial which causes a binary quartic to become equianharmonic and a ternary quartic to become a Klein quartic, admitting a group of 168 linear self-transformations. The six relations which must be satisfied by the coefficients of the ternary quartic were given by Coble forty years ago, but their true significance was never suspected and they have remained until now an isolated curiosity. In § 2 we give, in terms of a quadric and a Veronese surface, the geometrical interpretation of the six relations; we also give, in terms of the adjugate of a certain matrix, their algebraical interpretation. Both these interpretations make it abundantly clear that this set of relations specialising a ternary quartic has analogues for quartic polynomials in any number of variables, and point unmistakably to what these analogues are. That a ternary quartic is, when so specialised, a Klein quartic is proved in §§ 4–6. The proof bifurcates after (5.3); one branch leads instantly to the standard form of the Klein quartic while the other leads to another form which, on applying a known test, is found also to represent a Klein quartic. One or two properties of the curve follow from this new form of its equation. In §§ 8–10 some properties of a Veronese surface are established which are related to known properties of plane quartic curves; and these considerations lead to a discussion, in § 11, of certain hexads of points associated with a Klein curve." @default.
- W2278698977 created "2016-06-24" @default.
- W2278698977 creator A5035806152 @default.
- W2278698977 date "1944-01-01" @default.
- W2278698977 modified "2023-10-18" @default.
- W2278698977 title "XI—The Identification of Klein's Quartic" @default.
- W2278698977 cites W2007190190 @default.
- W2278698977 cites W2046478710 @default.
- W2278698977 cites W2055636927 @default.
- W2278698977 cites W2084868079 @default.
- W2278698977 doi "https://doi.org/10.1017/s0080454100006452" @default.
- W2278698977 hasPublicationYear "1944" @default.
- W2278698977 type Work @default.
- W2278698977 sameAs 2278698977 @default.
- W2278698977 citedByCount "0" @default.
- W2278698977 crossrefType "journal-article" @default.
- W2278698977 hasAuthorship W2278698977A5035806152 @default.
- W2278698977 hasConcept C117139701 @default.
- W2278698977 hasConcept C130432447 @default.
- W2278698977 hasConcept C199360897 @default.
- W2278698977 hasConcept C202444582 @default.
- W2278698977 hasConcept C33923547 @default.
- W2278698977 hasConcept C41008148 @default.
- W2278698977 hasConcept C527412718 @default.
- W2278698977 hasConcept C64452783 @default.
- W2278698977 hasConcept C84181032 @default.
- W2278698977 hasConceptScore W2278698977C117139701 @default.
- W2278698977 hasConceptScore W2278698977C130432447 @default.
- W2278698977 hasConceptScore W2278698977C199360897 @default.
- W2278698977 hasConceptScore W2278698977C202444582 @default.
- W2278698977 hasConceptScore W2278698977C33923547 @default.
- W2278698977 hasConceptScore W2278698977C41008148 @default.
- W2278698977 hasConceptScore W2278698977C527412718 @default.
- W2278698977 hasConceptScore W2278698977C64452783 @default.
- W2278698977 hasConceptScore W2278698977C84181032 @default.
- W2278698977 hasIssue "1" @default.
- W2278698977 hasLocation W22786989771 @default.
- W2278698977 hasOpenAccess W2278698977 @default.
- W2278698977 hasPrimaryLocation W22786989771 @default.
- W2278698977 hasRelatedWork W1535846798 @default.
- W2278698977 hasRelatedWork W1776994123 @default.
- W2278698977 hasRelatedWork W1983687009 @default.
- W2278698977 hasRelatedWork W2004579264 @default.
- W2278698977 hasRelatedWork W2082167378 @default.
- W2278698977 hasRelatedWork W2087488796 @default.
- W2278698977 hasRelatedWork W2088596103 @default.
- W2278698977 hasRelatedWork W2121333461 @default.
- W2278698977 hasRelatedWork W2316096947 @default.
- W2278698977 hasRelatedWork W2334743964 @default.
- W2278698977 hasRelatedWork W2544050567 @default.
- W2278698977 hasRelatedWork W2884476886 @default.
- W2278698977 hasRelatedWork W2950346359 @default.
- W2278698977 hasRelatedWork W2963700336 @default.
- W2278698977 hasRelatedWork W3072730305 @default.
- W2278698977 hasRelatedWork W3098265477 @default.
- W2278698977 hasRelatedWork W393370645 @default.
- W2278698977 hasRelatedWork W609683784 @default.
- W2278698977 hasRelatedWork W642689858 @default.
- W2278698977 hasRelatedWork W2150285837 @default.
- W2278698977 hasVolume "62" @default.
- W2278698977 isParatext "false" @default.
- W2278698977 isRetracted "false" @default.
- W2278698977 magId "2278698977" @default.
- W2278698977 workType "article" @default.