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On Shioda–Inose structures of one-parameter families of K3 surfaces

✍ Scribed by Ling Long


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
277 KB
Volume
109
Category
Article
ISSN
0022-314X

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✦ Synopsis


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 generalized congruence number problem is also discussed.


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