## 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

Zbl 0763.32016
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