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Generalized Shioda–Inose structures on K3 surfaces

✍ Scribed by Hurşit Önsiper; Sinan Sertöz


Publisher
Springer
Year
1999
Tongue
English
Weight
34 KB
Volume
98
Category
Article
ISSN
0025-2611

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On Shioda–Inose structures of one-parame
✍ Ling Long 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 277 KB

We develop an algorithm to determine a one-parameter family of elliptic curves associated to a one-parameter family of K3 surfaces with generic Picard number 19 by a Shioda-Inose structure. The family of elliptic curves is determined up to an isomorphism and an isogeny. An application to a generaliz