dc.date.accessioned | 2020-03-31T18:22:20Z | |
dc.date.available | 2020-03-31T18:22:20Z | |
dc.date.created | 2019-09-20T13:23:27Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Moe, Karoline Maugesten, Paul Aleksander . The 2-Hessian and sextactic points on plane algebraic curves. Mathematica Scandinavica. 2019, 125, 13-38 | |
dc.identifier.uri | http://hdl.handle.net/10852/74319 | |
dc.description.abstract | In an article from 1865, Arthur Cayley claims that given a plane algebraic curve there exists an associated 2-Hessian curve that intersects it in its sextactic points. In this paper we fix an error in Cayley's calculations and provide the correct defining polynomial for the 2-Hessian. In addition, we present a formula for the number of sextactic points on cuspidal curves and tie this formula to the 2-Hessian. Lastly, we consider the special case of rational curves, where the sextactic points appear as zeros of the Wronski determinant of the 2nd Veronese embedding of the curve. | |
dc.language | EN | |
dc.title | The 2-Hessian and sextactic points on plane algebraic curves | |
dc.type | Journal article | |
dc.creator.author | Moe, Karoline | |
dc.creator.author | Maugesten, Paul Aleksander | |
cristin.unitcode | 185,34,15,0 | |
cristin.unitname | Realfagsbiblioteket | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 1727222 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematica Scandinavica&rft.volume=125&rft.spage=13&rft.date=2019 | |
dc.identifier.jtitle | Mathematica Scandinavica | |
dc.identifier.volume | 125 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 13 | |
dc.identifier.endpage | 38 | |
dc.identifier.doi | https://doi.org/10.7146/math.scand.a-114715 | |
dc.identifier.urn | URN:NBN:no-77425 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0025-5521 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/74319/2/MSMaugestenMoe%2Breferee%2Bpostprint.pdf | |
dc.type.version | AcceptedVersion | |