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On a Shioda-Inose structure of a family of K3 surfaces. (English) Zbl 1044.14001
Yui, Noriko (ed.) et al., Calabi-Yau varieties and mirror symmetry. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3355-3/hbk). Fields Inst. Commun. 38, 201-207 (2003).
Summary: We construct the $$j$$-function of a one parameter family of elliptic curves which gives rise to a Shioda-Inose structure of a particular one parameter family of $$M_n$$-polarized K3 surfaces.
For the entire collection see [Zbl 1022.00014].

##### MSC:
 14D05 Structure of families (Picard-Lefschetz, monodromy, etc.) 14J28 $$K3$$ surfaces and Enriques surfaces 32S40 Monodromy; relations with differential equations and $$D$$-modules (complex-analytic aspects) 14H52 Elliptic curves 14H10 Families, moduli of curves (algebraic) 14J10 Families, moduli, classification: algebraic theory