{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:39:11Z","timestamp":1772296751206,"version":"3.50.1"},"reference-count":26,"publisher":"Wiley","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. London Math. Soc."],"published-print":{"date-parts":[[2016,6]]},"DOI":"10.1112\/jlms\/jdw020","type":"journal-article","created":{"date-parts":[[2016,4,29]],"date-time":"2016-04-29T01:58:34Z","timestamp":1461895114000},"page":"763-784","source":"Crossref","is-referenced-by-count":10,"title":["Geometry of an elliptic difference equation related to Q4"],"prefix":"10.1112","volume":"93","author":[{"given":"James","family":"Atkinson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Phil","family":"Howes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nalini","family":"Joshi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nobutaka","family":"Nakazono","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2016,4,28]]},"reference":[{"key":"2016052804290623000_93.3.763.1","doi-asserted-by":"crossref","unstructured":"V. E. Adler , \u2018B\u00e4cklund transformation for the Krichever\u2013Novikov equation\u2019, Int. Math. Res. Not. (1998) 1\u20134.","DOI":"10.1155\/S1073792898000014"},{"key":"2016052804290623000_93.3.763.2","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-002-0762-8"},{"key":"2016052804290623000_93.3.763.3","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10688-009-0002-5","article-title":"Discrete nonlinear hyperbolic equations: classification of integrable cases","volume":"43","author":"Adler","year":"2009","journal-title":"Funktsional. Anal. i Prilozhen."},{"key":"2016052804290623000_93.3.763.4","unstructured":"V. E. Adler Y. B. Suris , \u2018 ${\\rm Q}_4$ : integrable master equation related to an elliptic curve\u2019, Int. Math. Res. Not. (2004) 2523\u20132553."},{"key":"2016052804290623000_93.3.763.5","doi-asserted-by":"publisher","DOI":"10.1007\/s10440-005-4557-8"},{"key":"2016052804290623000_93.3.763.6","doi-asserted-by":"crossref","unstructured":"J. Atkinson , \u2018Singularities of type-Q ABS equations\u2019, SIGMA Symmetry Integrability Geom. Methods Appl. 7 (2011) Paper 073, 14.","DOI":"10.3842\/SIGMA.2011.073"},{"key":"2016052804290623000_93.3.763.7","unstructured":"J. Atkinson , Fano 3-space and the symmetrisation of integrable quad equations, Isaac Newton Instiute Seminar Series (2013) https:\/\/www.newton.ac.uk\/seminar\/20130708160016301 ."},{"key":"2016052804290623000_93.3.763.8","doi-asserted-by":"publisher","DOI":"10.2991\/jnmp.2008.15.s3.4"},{"key":"2016052804290623000_93.3.763.9","doi-asserted-by":"publisher","DOI":"10.1007\/s002200050652"},{"key":"2016052804290623000_93.3.763.10","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"2016052804290623000_93.3.763.11","doi-asserted-by":"crossref","unstructured":"A. S. Carstea , \u2018On the geometry of $Q_4$ mapping\u2019, Algebraic and geometric aspects of integrable systems and random matrices, Contemporary Mathematics 593 (American Mathematical Society, Providence, RI, 2013) 231\u2013239.","DOI":"10.1090\/conm\/593\/11869"},{"key":"2016052804290623000_93.3.763.12","unstructured":"I. Dolgachev D. Ortland , \u2018Point sets in projective spaces and theta functions\u2019, Ast\u00e9risque (1988) (1989)."},{"key":"2016052804290623000_93.3.763.13","doi-asserted-by":"crossref","unstructured":"R. Hartshorne , Algebraic geometry, Graduate Texts in Mathematics 52 (Springer, New York, 1977).","DOI":"10.1007\/978-1-4757-3849-0"},{"key":"2016052804290623000_93.3.763.14","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/48\/9\/095201"},{"key":"2016052804290623000_93.3.763.15","doi-asserted-by":"publisher","DOI":"10.2991\/jnmp.2005.12.s2.16"},{"key":"2016052804290623000_93.3.763.16","doi-asserted-by":"publisher","DOI":"10.1007\/s11005-006-0103-5"},{"key":"2016052804290623000_93.3.763.17","doi-asserted-by":"crossref","unstructured":"V. G. Kac , Infinite-dimensional Lie algebras, 3rd edn (Cambridge University Press, Cambridge, 1990).","DOI":"10.1017\/CBO9780511626234"},{"key":"2016052804290623000_93.3.763.18","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/36\/17\/102"},{"key":"2016052804290623000_93.3.763.19","doi-asserted-by":"crossref","unstructured":"K. Kajiwara , N. Nakazono T. Tsuda , \u2018Projective reduction of the discrete Painlev\u00e9 system of type $(A_2+A_1)^{(1)}$ \u2019, Int. Math. Res. Not. (2011) 930\u2013966.","DOI":"10.1093\/imrn\/rnq089"},{"key":"2016052804290623000_93.3.763.20","doi-asserted-by":"publisher","DOI":"10.2307\/1971295"},{"key":"2016052804290623000_93.3.763.21","doi-asserted-by":"publisher","DOI":"10.1063\/1.1531216"},{"key":"2016052804290623000_93.3.763.22","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(02)00287-6"},{"key":"2016052804290623000_93.3.763.23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4099\/math1924.5.1","article-title":"Sur les feuilletages associ\u00e9s aux \u00e9quations du second ordre \u00e0 points critiques fixes de P. Painlev\u00e9","volume":"5","author":"Okamoto","year":"1979","journal-title":"Japan J. Math. (N.S.)"},{"key":"2016052804290623000_93.3.763.24","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/42\/32\/322003"},{"key":"2016052804290623000_93.3.763.25","doi-asserted-by":"publisher","DOI":"10.1007\/s002200100446"},{"key":"2016052804290623000_93.3.763.26","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/34\/48\/317"}],"container-title":["Journal of the London Mathematical Society"],"original-title":[],"language":"en","deposited":{"date-parts":[[2021,7,20]],"date-time":"2021-07-20T13:17:59Z","timestamp":1626787079000},"score":1,"resource":{"primary":{"URL":"http:\/\/doi.wiley.com\/10.1112\/jlms\/jdw020"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4,28]]},"references-count":26,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2016,5,28]]},"published-print":{"date-parts":[[2016,6]]}},"alternative-id":["10.1112\/jlms\/jdw020"],"URL":"https:\/\/doi.org\/10.1112\/jlms\/jdw020","relation":{},"ISSN":["0024-6107","1469-7750"],"issn-type":[{"value":"0024-6107","type":"print"},{"value":"1469-7750","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,4,28]]}}}