On families of K3 surfaces with real multiplication
We exhibit large families of K3 surfaces with real multiplication, both abstractly, using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as explicitly, using dihedral covers and isogenies.
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2025-01-01
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| Series: | Forum of Mathematics, Sigma |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424001464/type/journal_article |
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| _version_ | 1832594078101929984 |
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| author | Bert van Geemen Matthias Schütt |
| author_facet | Bert van Geemen Matthias Schütt |
| author_sort | Bert van Geemen |
| collection | DOAJ |
| description | We exhibit large families of K3 surfaces with real multiplication, both abstractly, using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as explicitly, using dihedral covers and isogenies. |
| format | Article |
| id | doaj-art-6ed451f5aff04e14b5c6a73200c80aba |
| institution | Kabale University |
| issn | 2050-5094 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj-art-6ed451f5aff04e14b5c6a73200c80aba2025-01-20T06:07:58ZengCambridge University PressForum of Mathematics, Sigma2050-50942025-01-011310.1017/fms.2024.146On families of K3 surfaces with real multiplicationBert van Geemen0Matthias Schütt1https://orcid.org/0000-0003-0254-1460Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italia; E-mail: .Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany, and Riemann Center for Geometry and Physics, Leibniz Universität Hannover, Appelstrasse 2, 30167 Hannover, GermanyWe exhibit large families of K3 surfaces with real multiplication, both abstractly, using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as explicitly, using dihedral covers and isogenies.https://www.cambridge.org/core/product/identifier/S2050509424001464/type/journal_article14J2814C3014D0714J27 |
| spellingShingle | Bert van Geemen Matthias Schütt On families of K3 surfaces with real multiplication Forum of Mathematics, Sigma 14J28 14C30 14D07 14J27 |
| title | On families of K3 surfaces with real multiplication |
| title_full | On families of K3 surfaces with real multiplication |
| title_fullStr | On families of K3 surfaces with real multiplication |
| title_full_unstemmed | On families of K3 surfaces with real multiplication |
| title_short | On families of K3 surfaces with real multiplication |
| title_sort | on families of k3 surfaces with real multiplication |
| topic | 14J28 14C30 14D07 14J27 |
| url | https://www.cambridge.org/core/product/identifier/S2050509424001464/type/journal_article |
| work_keys_str_mv | AT bertvangeemen onfamiliesofk3surfaceswithrealmultiplication AT matthiasschutt onfamiliesofk3surfaceswithrealmultiplication |