{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T22:40:28Z","timestamp":1777675228516,"version":"3.51.4"},"reference-count":37,"publisher":"Informa UK Limited","issue":"2","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Experimental Mathematics"],"published-print":{"date-parts":[[2024,4,2]]},"DOI":"10.1080\/10586458.2022.2061649","type":"journal-article","created":{"date-parts":[[2022,5,2]],"date-time":"2022-05-02T08:21:00Z","timestamp":1651479660000},"page":"193-224","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":6,"title":["Real and Complex Multiplication on\n            <i>K<\/i>\n            3 Surfaces via Period Integration"],"prefix":"10.1080","volume":"33","author":[{"given":"Andreas-Stephan","family":"Elsenhans","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Mathematik, Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J\u00f6rg","family":"Jahnel","sequence":"additional","affiliation":[{"name":"Department Mathematik, Universit\u00e4t Siegen, Siegen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2022,5,2]]},"reference":[{"key":"e_1_3_1_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61257-2"},{"key":"e_1_3_1_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00209-010-0681-x"},{"key":"e_1_3_1_4_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"e_1_3_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-57739-0"},{"key":"e_1_3_1_6_1","volume-title":"Graduate Texts in Mathematics","author":"Bott R.","year":"1982","unstructured":"Bott, R., Tu, L. W. (1982). Differential Forms in Algebraic Topology. Graduate Texts in Mathematics 82. New York: Springer."},{"key":"e_1_3_1_7_1","volume-title":"Complex Algebraic Surfaces. London Mathematical Society Lecture Note Series","author":"Beauville A.","year":"1983","unstructured":"Beauville, A. (1983). Complex Algebraic Surfaces. London Mathematical Society Lecture Note Series 68. Cambridge: Cambridge University Press."},{"key":"e_1_3_1_8_1","first-page":"675","volume-title":"Enzyklop\u00e4die der Mathematischen Wissenschaften mit Einschlu\u00df ihrer Anwendungen","author":"Castelnuovo G.","year":"1903","unstructured":"Castelnuovo, G., Enriques, F. (1903\u20131915). Die algebraischen Fl\u00e4chen vom Gesichtspunkte der birationalen Transformationen aus, in: Enzyklop\u00e4die der Mathematischen Wissenschaften mit Einschlu\u00df ihrer Anwendungen, Vol. III.1, Teubner, 675\u2013767."},{"key":"e_1_3_1_9_1","doi-asserted-by":"publisher","DOI":"10.2140\/ant.2014.8.1"},{"key":"e_1_3_1_10_1","volume-title":"Primes of the form: Fermat, Class Field Theory and Complex Multiplication","author":"Cox D. A.","year":"1989","unstructured":"Cox, D. A. (1989). Primes of the form x2+ny2: Fermat, Class Field Theory and Complex Multiplication. New York: Wiley."},{"key":"e_1_3_1_11_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684692"},{"key":"e_1_3_1_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684373"},{"key":"e_1_3_1_13_1","volume-title":"\u00c9l\u00e9ments d\u2019analyse, Tome III","author":"Dieudonn\u00e9 J.","year":"1970","unstructured":"Dieudonn\u00e9, J. (1970). \u00c9l\u00e9ments d\u2019analyse, Tome III, Gauthier-Villars, Cahiers Scientifiques, Fasc. XXXIII, Paris."},{"key":"e_1_3_1_14_1","volume-title":"\u00c9l\u00e9ments d\u2019analyse, Tome IX","author":"Dieudonn\u00e9 J.","year":"1982","unstructured":"Dieudonn\u00e9, J. (1982). \u00c9l\u00e9ments d\u2019analyse, Tome IX, Gauthier-Villars, Cahiers Scientifiques, Fasc. XLII, Paris."},{"key":"e_1_3_1_15_1","volume-title":"Grundlehren der Mathematischen Wissenschaften 200","author":"Dold A.","year":"1980","unstructured":"Dold, A. (1980). Lectures on Algebraic Topology, 2nd ed. Grundlehren der Mathematischen Wissenschaften 200. Berlin: Springer.","edition":"2"},{"key":"e_1_3_1_16_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139084437"},{"key":"e_1_3_1_17_1","unstructured":"Edmonds A. L. Introduction to transformation groups. Available at www.indiana.edu\/\u02dcjfdavis\/seminar\/transformationgroupsb.pdf"},{"key":"e_1_3_1_18_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004111000326"},{"key":"e_1_3_1_19_1","doi-asserted-by":"publisher","DOI":"10.1112\/S1461157014000199"},{"key":"e_1_3_1_20_1","doi-asserted-by":"publisher","DOI":"10.1112\/S1461157016000176"},{"key":"e_1_3_1_21_1","article-title":"Explicit families of K3 surfaces having real multiplication","author":"Elsenhans A.-S.","unstructured":"Elsenhans, A.-S., Jahnel, J. Explicit families of K3 surfaces having real multiplication. Michigan Math. J. To appear.","journal-title":"Michigan Math. J"},{"key":"e_1_3_1_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02421-8"},{"key":"e_1_3_1_23_1","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1224783519"},{"key":"e_1_3_1_24_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684746"},{"key":"e_1_3_1_25_1","volume-title":"Principles of Algebraic Geometry","author":"Griffiths P.","year":"1978","unstructured":"Griffiths, P., Harris, J. (1978). Principles of Algebraic Geometry. New York: Wiley."},{"key":"e_1_3_1_26_1","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/pdv056"},{"key":"e_1_3_1_27_1","doi-asserted-by":"publisher","DOI":"10.1017\/fms.2016.23"},{"key":"e_1_3_1_28_1","doi-asserted-by":"publisher","DOI":"10.2140\/ant.2007.1.1"},{"key":"e_1_3_1_29_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-014-0557-5"},{"key":"e_1_3_1_30_1","article-title":"Computing periods of hypersurfaces","author":"Sert\u00f6z E.C.","unstructured":"Sert\u00f6z, E.C. Computing periods of hypersurfaces. Preprint arXiv:1803.08068.","journal-title":"Preprint arXiv:1803.08068"},{"key":"e_1_3_1_31_1","first-page":"247","article-title":"Le superficie algebriche con curva canonica d\u2019ordine zero","volume":"68","author":"Severi F.","year":"1908","unstructured":"Severi, F. (1908). Le superficie algebriche con curva canonica d\u2019ordine zero, Atti del R. Ist. Veneto di Scienze, Lettere ed Arti 68: 247\u2013260.","journal-title":"Atti del R. Ist. Veneto di Scienze, Lettere ed Arti"},{"key":"e_1_3_1_32_1","volume-title":"S\u00e9minaire de G\u00e9om\u00e9trie Alg\u00e9brique du Bois Marie 1965\u20131966 (SGA5), Lecture Notes in Math","author":"Grothendieck A.","year":"1977","unstructured":"Grothendieck, A. (avec la collaboration de Bucur, I., Houzel, C., Illusie, L. et Serre, J.-P.) (1977). Cohomologie l-adique et Fonctions L, S\u00e9minaire de G\u00e9om\u00e9trie Alg\u00e9brique du Bois Marie 1965\u20131966 (SGA5), Lecture Notes in Math. 589. Berlin: Springer."},{"key":"e_1_3_1_33_1","volume-title":"Proceedings of the Steklov Institute","author":"\u0160afarevi\u010d I.R.","year":"1967","unstructured":"\u0160afarevi\u010d, I.R., ed. (1967). Algebraic Surfaces. Proceedings of the Steklov Institute 75. Providence: AMS."},{"key":"e_1_3_1_34_1","volume-title":"Graduate Texts in Mathematics","author":"Silverman J.H.","year":"1994","unstructured":"Silverman, J.H. (1994). Advanced Topics in the Arithmetic of Elliptic Curves. Graduate Texts in Mathematics 151. New York: Springer."},{"key":"e_1_3_1_35_1","volume-title":"Algebraic Topology","author":"Spanier E. H.","year":"1966","unstructured":"Spanier, E. H. (1966). Algebraic Topology. New York: McGraw-Hill Book Co."},{"key":"e_1_3_1_36_1","article-title":"Complex multiplication and Shimura Stacks","author":"Taelman L.","unstructured":"Taelman, L. Complex multiplication and Shimura Stacks. Preprint, arXiv:1707.01236.","journal-title":"Preprint, arXiv:1707.01236"},{"key":"e_1_3_1_37_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-322-90166-8"},{"key":"e_1_3_1_38_1","first-page":"193","article-title":"Hodge groups of K3 surfaces","volume":"341","author":"Zarhin Y. G.","year":"1983","unstructured":"Zarhin, Y. G. (1983). Hodge groups of K3 surfaces. J. Reine Angew. Math. 341: 193\u2013220.","journal-title":"J. Reine Angew. Math"}],"container-title":["Experimental Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10586458.2022.2061649","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T11:27:22Z","timestamp":1717586842000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10586458.2022.2061649"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,2]]},"references-count":37,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,4,2]]}},"alternative-id":["10.1080\/10586458.2022.2061649"],"URL":"https:\/\/doi.org\/10.1080\/10586458.2022.2061649","relation":{},"ISSN":["1058-6458","1944-950X"],"issn-type":[{"value":"1058-6458","type":"print"},{"value":"1944-950X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,5,2]]},"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":"2022-05-02","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}