{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T22:28:01Z","timestamp":1760480881119},"reference-count":25,"publisher":"Informa UK Limited","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Experimental Mathematics"],"published-print":{"date-parts":[[1999,1]]},"DOI":"10.1080\/10586458.1999.10504404","type":"journal-article","created":{"date-parts":[[2012,4,3]],"date-time":"2012-04-03T20:34:18Z","timestamp":1333485258000},"page":"261-280","source":"Crossref","is-referenced-by-count":24,"title":["Affine Spheres: Discretization via Duality Relations"],"prefix":"10.1080","volume":"8","author":[{"given":"Alexander I.","family":"Bobenko","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wolfgang K.","family":"Schief","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","reference":[{"key":"CIT0001","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-47392-0","volume-title":"Vorlesungen \u00fcber Differentialgeometrie und geometrische Grundlagen von Einsteins Relativit\u00e4tstheorie, II: Affine Differential-geometrie","author":"Blaschke W.","year":"1923"},{"key":"CIT0002","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1017\/CBO9780511569432.009","volume-title":"Symmetries and integrability of difference equations (Canterbury, 1996)","author":"Bobenko A.","year":"1999"},{"key":"CIT0003","first-page":"187","volume":"475","author":"Bobenko A.","year":"1996","journal-title":"J. Reine Angew. Math."},{"issue":"3","key":"CIT0004","doi-asserted-by":"crossref","first-page":"527","DOI":"10.4310\/jdg\/1214458324","volume":"43","author":"Bobenko A.","year":"1996","journal-title":"J. Differential Geom."},{"key":"CIT0005","first-page":"3","volume-title":"Discrete integrable geometry and physics","author":"Bobenko A. I.","year":"1999"},{"key":"CIT0006","first-page":"113","volume-title":"Discrete integrable geometry and physics","author":"Bobenko A. I.","year":"1999"},{"issue":"5","key":"CIT0007","doi-asserted-by":"crossref","first-page":"L173","DOI":"10.1088\/0305-4470\/28\/5\/005","volume":"28","author":"Bogdanov L. V.","year":"1995","journal-title":"J. Phys. A"},{"issue":"5","key":"CIT0008","doi-asserted-by":"crossref","first-page":"480","DOI":"10.1016\/S0375-9601(97)00657-9","volume":"235","author":"Cie J.","year":"1997","journal-title":"Phys. Lett. A"},{"issue":"3","key":"CIT0009","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/S0375-9601(97)00477-5","volume":"234","author":"Doliwa A.","year":"1997","journal-title":"Phys. Lett. A"},{"issue":"4","key":"CIT0010","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/S0375-9601(97)00456-8","volume":"233","author":"Doliwa A.","year":"1997","journal-title":"Phys. Lett. A"},{"issue":"1","key":"CIT0011","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s002200050411","volume":"196","author":"Doliwa A.","year":"1998","journal-title":"Comm. Math. Phys."},{"issue":"14","key":"CIT0012","doi-asserted-by":"crossref","first-page":"1825","DOI":"10.1103\/PhysRevLett.67.1825","volume":"67","author":"Grammaticos B.","year":"1991","journal-title":"Phys. Rev. Lett."},{"key":"CIT0013","first-page":"59","volume-title":"Discrete integrable geometry and physics","author":"Hertrich U.","year":"1999"},{"issue":"6","key":"CIT0014","doi-asserted-by":"crossref","first-page":"2079","DOI":"10.1143\/JPSJ.43.2079","volume":"43","author":"Hirota R.","year":"1977","journal-title":"J. Phys. Soc. Japan"},{"issue":"1980","key":"CIT0015","doi-asserted-by":"crossref","first-page":"3075","DOI":"10.1098\/rspa.1998.0292","volume":"454","author":"Konopelchenko B. G.","year":"1998","journal-title":"R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci."},{"key":"CIT0016","first-page":"253","volume-title":"The mathematics of surfaces (Manchester, 1984)","author":"Martin R. R.","year":"1986"},{"key":"CIT0017","volume-title":"Affine differential geometry","author":"Nomizu K.","year":"1994"},{"key":"CIT0018","first-page":"233","volume-title":"The mathematics of surfaces (Manchester, 1984)","author":"Nutbourne A. W.","year":"1986"},{"issue":"7","key":"CIT0019","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1016\/0375-9601(88)90803-1","volume":"126","author":"Quispel G. R. W.","year":"1988","journal-title":"Phys. Lett. A"},{"issue":"1","key":"CIT0020","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0167-2789(89)90233-9","volume":"34","author":"Quispel G. R. W.","year":"1989","journal-title":"phys. D"},{"key":"CIT0021","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1007\/BF02230715","volume":"52","author":"Sauer R.","year":"1950","journal-title":"Math. Z."},{"key":"CIT0022","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-86411-7","volume-title":"Differenzengeometrie","author":"Sauer R.","year":"1970"},{"key":"CIT0023","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1090\/pspum\/054.3\/1216648","volume-title":"Differential geometry: Riemannian geometry (Los Angeles, 1990)","author":"Simon U.","year":"1993"},{"key":"CIT0024","first-page":"955","volume":"150","author":"Tzitzeica G.","year":"1910","journal-title":"C. R. Acad. Sci. Paris"},{"key":"CIT0025","first-page":"39","volume":"160","author":"Wunderlich W.","year":"1951","journal-title":"\u00d6sterreich. Akad. Wiss. Math.-Nat. Kl. S.-B. IIa."}],"container-title":["Experimental Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10586458.1999.10504404","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,26]],"date-time":"2019-06-26T18:28:47Z","timestamp":1561573727000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/10586458.1999.10504404"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,1]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1999,1]]}},"alternative-id":["10.1080\/10586458.1999.10504404"],"URL":"https:\/\/doi.org\/10.1080\/10586458.1999.10504404","relation":{},"ISSN":["1058-6458","1944-950X"],"issn-type":[{"value":"1058-6458","type":"print"},{"value":"1944-950X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,1]]}}}