{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T18:27:56Z","timestamp":1740162476670,"version":"3.37.3"},"reference-count":40,"publisher":"Informa UK Limited","issue":"4","funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft (DFG)\u2014Projektnummer","doi-asserted-by":"publisher","award":["445466444"],"award-info":[{"award-number":["445466444"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000930","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DGE 2146752"],"award-info":[{"award-number":["DGE 2146752"]}],"id":[{"id":"10.13039\/501100000930","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Experimental Mathematics"],"published-print":{"date-parts":[[2024,10]]},"DOI":"10.1080\/10586458.2023.2203413","type":"journal-article","created":{"date-parts":[[2023,5,24]],"date-time":"2023-05-24T11:31:40Z","timestamp":1684927900000},"page":"569-587","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":0,"title":["Crossing the Transcendental Divide: From Translation Surfaces to Algebraic Curves"],"prefix":"10.1080","volume":"33","author":[{"given":"T\u00fcrk\u00fc \u00d6zl\u00fcm","family":"\u00c7elik","sequence":"first","affiliation":[{"name":"Bo\u011fazi\u00e7i University, Istanbul, Turkey"}]},{"given":"Samantha","family":"Fairchild","sequence":"additional","affiliation":[{"name":"University of Osnabr\u00fcck, Osnabruck, Germany"},{"name":"MPI-MiS Leipzig, Leipzig, Germany"}]},{"given":"Yelena","family":"Mandelshtam","sequence":"additional","affiliation":[{"name":"UC Berkeley, Berkeley, CA"}]}],"member":"301","published-online":{"date-parts":[[2023,5,24]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.2140\/jsag.2021.11.41"},{"key":"e_1_3_3_3_1","volume-title":"Arithmetic, Geometry, Cryptography and Coding Theory, AMS Contemporary Mathematics","author":"Agostini D.","year":"2021","unstructured":"Agostini, D., \u00c7elik, T. \u00d6., Eken, D. (2021). Numerical reconstruction of curves from their Jacobians. In: Anni, S., Karemaker, V., Garc\u00eda, E. L., eds. Arithmetic, Geometry, Cryptography and Coding Theory, AMS Contemporary Mathematics, Providence, RI: American Mathematical Society."},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11040-021-09394-2"},{"key":"e_1_3_3_5_1","first-page":"57","volume-title":"Discrete Complex Analysis on Planar Quad-Graphs","author":"Bobenko A. I.","year":"2016","unstructured":"Bobenko, A. I., G\u00fcnther, F. (2016). Discrete Complex Analysis on Planar Quad-Graphs. Berlin, Heidelberg: Springer, pp. 57\u2013132."},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2017.03.010"},{"key":"e_1_3_3_7_1","first-page":"213","volume-title":"Period Matrices of Polyhedral Surfaces","author":"Bobenko A. I.","year":"2011","unstructured":"Bobenko, A. I., Mercat, C., Schmies, M. (2011). Period Matrices of Polyhedral Surfaces. Berlin, Heidelberg: Springer, pp. 213\u2013226."},{"key":"e_1_3_3_8_1","first-page":"64","volume-title":"Introduction to Compact Riemann Surfaces, Jacobians, and Abelian Varieties","author":"Bost J.-B.","year":"1992","unstructured":"Bost, J.-B. (1992). Introduction to Compact Riemann Surfaces, Jacobians, and Abelian Varieties. Berlin: Springer, pp. 64\u2013211."},{"key":"e_1_3_3_9_1","doi-asserted-by":"publisher","DOI":"10.1515\/crelle-2014-0065"},{"key":"e_1_3_3_10_1","doi-asserted-by":"publisher","DOI":"10.1093\/imrn\/rnz302"},{"key":"e_1_3_3_11_1","doi-asserted-by":"crossref","unstructured":"\u00c7elik T. \u00d6. Fairchild S. Mandelshtam Y. (2022). Crossing the transcendental divide: from translation surfaces to algebraic curves \u2013 Auxiliary Files. https:\/\/mathrepo.mis.mpg.de\/Tsurfaces2Acurves\/index.html.","DOI":"10.1080\/10586458.2023.2203413"},{"key":"e_1_3_3_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2019.07.037"},{"key":"e_1_3_3_13_1","first-page":"101","article-title":"Characterizing curves by their odd theta-characteristics","volume":"562","author":"Caporaso L.","year":"2003","unstructured":"Caporaso, L., Sernesi, E. (2003). Characterizing curves by their odd theta-characteristics. J. f\u00fcr die Reine und Angew. Math. 2003(562): 101\u2013135.","journal-title":"J. f\u00fcr die Reine und Angew. Math"},{"key":"e_1_3_3_14_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-03-01609-0"},{"key":"e_1_3_3_15_1","unstructured":"Duryev E. Monin L. (2021). Eigenforms of hyperelliptic curves with many automorphisms. arXiv preprint arXiv:2104.08920."},{"key":"e_1_3_3_16_1","doi-asserted-by":"publisher","DOI":"10.1070\/RM1981v036n02ABEH002596"},{"key":"e_1_3_3_17_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(01)00156-7"},{"issue":"3","key":"e_1_3_3_18_1","first-page":"358","article-title":"An explicit solution to the weak schottky problem","volume":"8","author":"Farkas H. M.","year":"2021","unstructured":"Farkas, H. M., Grushevsky, S., Manni, R. S. (2021). An explicit solution to the weak schottky problem. Phys. D: Nonlinear Phenomena 8(3): 358\u2013373.","journal-title":"Phys. D: Nonlinear Phenomena"},{"key":"e_1_3_3_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.geomphys.2019.03.011"},{"key":"e_1_3_3_20_1","unstructured":"Ganjian S. Bruin N. (2021). RiemannTheta: A SageMath package for evaluating Riemann theta functions. http:\/\/www.cecm.sfu.ca\/\u223cnbruin\/RiemannTheta\/."},{"key":"e_1_3_3_21_1","first-page":"129","volume-title":"The Schottky Problem. MSRI Publications 59","author":"Grushevsky S.","year":"2012","unstructured":"Grushevsky, S. (2012). The Schottky Problem. MSRI Publications 59. Cambridge: Cambridge University Press, pp. 129\u2013164."},{"key":"e_1_3_3_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-8693(02)00049-2"},{"key":"e_1_3_3_23_1","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1301586303"},{"key":"e_1_3_3_24_1","first-page":"531","article-title":"On the irreducibility of Schottky\u2019s divisor","volume":"28","author":"Igusa J.-i.","year":"1982","unstructured":"Igusa, J.-i. (1982). On the irreducibility of Schottky\u2019s divisor. J. Faculty of Science, University of Tokyo. Sect. 1 A, Math. 28: 531\u2013545.","journal-title":"J. Faculty of Science, University of Tokyo. Sect. 1 A, Math"},{"key":"e_1_3_3_25_1","doi-asserted-by":"publisher","DOI":"10.1070\/RM1977v032n06ABEH003862"},{"key":"e_1_3_3_26_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-003-0303-x"},{"key":"e_1_3_3_27_1","doi-asserted-by":"publisher","DOI":"10.1093\/imrn\/rnu235"},{"key":"e_1_3_3_28_1","doi-asserted-by":"publisher","DOI":"10.1080\/10586458.2022.2041133"},{"key":"e_1_3_3_29_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-86695-2_9"},{"key":"e_1_3_3_30_1","doi-asserted-by":"publisher","DOI":"10.1007\/s002200000348"},{"key":"e_1_3_3_31_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4578-6"},{"key":"e_1_3_3_32_1","volume-title":"Gesammelte mathematische Werke und wissenschaftlicher Nachlass","author":"Riemann B.","year":"1876","unstructured":"Riemann, B. (1876). Zur Theorie der Abelschen Funktionen f\u00fcr den Fall p = 3. Gesammelte mathematische Werke und wissenschaftlicher Nachlass, Teubner, Leipzig."},{"key":"e_1_3_3_33_1","doi-asserted-by":"publisher","DOI":"10.1007\/s13398-012-0085-3"},{"key":"e_1_3_3_34_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2014-02797-X"},{"key":"e_1_3_3_35_1","unstructured":"SageMath developers. SageMath class: \u201cHyperelliptic Curves of Genus 2 over a General Ring\u201d."},{"key":"e_1_3_3_36_1","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/397\/07474"},{"key":"e_1_3_3_37_1","first-page":"595","volume-title":"Proceedings of the International Congress of Mathematicians 2010 (ICM 2010)","author":"Smirnov S.","year":"2010","unstructured":"Smirnov, S. (2010). Discrete complex analysis and probability. In: Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), New Delhi, India, pp. 595\u2013621."},{"key":"e_1_3_3_38_1","first-page":"201","article-title":"Beitrag zur Bestimmung von \u03b8(0,0,\u2026,0) durch die Klassenmoduln algebraischer Funktionen","volume":"71","author":"Thomae J.","year":"1870","unstructured":"Thomae, J. (1870). Beitrag zur Bestimmung von \u03b8(0,0,\u2026,0) durch die Klassenmoduln algebraischer Funktionen. J. Reine Angew. Math. 71: 201\u2013222.","journal-title":"J. Reine Angew. Math."},{"key":"e_1_3_3_39_1","volume-title":"Theorie der Abelschen Funktionen vom Geschlecht 3","author":"Weber H.","year":"1876","unstructured":"Weber, H. (1876). Theorie der Abelschen Funktionen vom Geschlecht 3. Berlin: Druck und Verlag von Georg Reimer."},{"key":"e_1_3_3_40_1","doi-asserted-by":"publisher","DOI":"10.4171\/EMSS\/9"},{"key":"e_1_3_3_41_1","doi-asserted-by":"publisher","DOI":"10.3934\/jmd.2008.2.139"}],"container-title":["Experimental Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10586458.2023.2203413","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,22]],"date-time":"2024-11-22T20:32:51Z","timestamp":1732307571000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10586458.2023.2203413"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,24]]},"references-count":40,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,10]]}},"alternative-id":["10.1080\/10586458.2023.2203413"],"URL":"https:\/\/doi.org\/10.1080\/10586458.2023.2203413","relation":{},"ISSN":["1058-6458","1944-950X"],"issn-type":[{"type":"print","value":"1058-6458"},{"type":"electronic","value":"1944-950X"}],"subject":[],"published":{"date-parts":[[2023,5,24]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2023-05-24","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}