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An explicit expression of the Lüroth invariant
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Basson, Romain, Lercier, Reynald, Ritzenthaler, Christophe and Sijsling, Jeroen (2013) An explicit expression of the Lüroth invariant. In: The International Symposium on Symbolic and Algebraic Computation, Boston, MA, 26-29 June 2013. Published in: ISSAC '13 Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation pp. 31-36. ISBN 9781450320597. doi:10.1145/2465506.2465507
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Official URL: http://dx.doi.org/10.1145/2465506.2465507
Abstract
In this short note, we give an algorithm that returns an explicit expression of the Lüroth invariant in terms of the Dixmier-Ohno invariants of plane quartic curves. We also obtain an explicit factorized expression on the locus of Ciani quartics in terms of the coefficients. After this calculation, we extend our methods to answer two open theoretical questions concerning the sub-locus of singular Lüroth quartics.
Item Type: | Conference Item (Paper) | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | ISSAC '13 Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation | ||||
Publisher: | ACM | ||||
ISBN: | 9781450320597 | ||||
Book Title: | Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation - ISSAC '13 | ||||
Official Date: | 26 June 2013 | ||||
Dates: |
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Page Range: | pp. 31-36 | ||||
DOI: | 10.1145/2465506.2465507 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | The International Symposium on Symbolic and Algebraic Computation | ||||
Type of Event: | Conference | ||||
Location of Event: | Boston, MA | ||||
Date(s) of Event: | 26-29 June 2013 | ||||
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