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Discriminant of certain \(K3\) surfaces. (English) Zbl 1302.58016

Kobayashi, Toshiyuki (ed.) et al., Representation theory and automorphic forms. Based on the symposium, Seoul, Korea, February 14–17, 2005. Basel: Birkhäuser (ISBN 978-0-8176-4505-2/hbk). Progress in Mathematics 255, 175-210 (2008).
Summary: In this article we study the discriminant of those \(K3\) surfaces with involution which were introduced and investigated by Matsumoto, Sasaki, and Yoshida [K. Matsumoto et al., Int. J. Math. 3, No. 1, 1–164 (1992; Zbl 0763.32016)]. We extend several classical results on the discriminant of elliptic curves to the discriminant of Matsumoto-Sasaki-Yoshida’s \(K3\) surfaces .
For the entire collection see [Zbl 1124.11004].

MSC:

58J52 Determinants and determinant bundles, analytic torsion
11F23 Relations with algebraic geometry and topology
14J28 \(K3\) surfaces and Enriques surfaces
11F55 Other groups and their modular and automorphic forms (several variables)
14J15 Moduli, classification: analytic theory; relations with modular forms

Citations:

Zbl 0763.32016
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