# $K3$ Surfaces

• ### Shigeyuki Kondō

Nagoya University, Japan

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 FrontmatterDownload pp. i–v Preface to the English translationDownload p. vii PrefaceDownload p. ix ContentsDownload pp. xi–xiii 0 IntroductionDownload pp. 1–8 1 Lattice theorypp. 9–26 2 Reflection groups and their fundamental domainspp. 27–33 3 Complex analytic surfacespp. 35–54 4 $K3$ surfaces and examplespp. 55–74 5 Bounded symmetric domains of type IV and deformations of complex structurespp. 75–86 6 The Torelli-type theorem for $K3$ surfacespp. 87–117 7 Surjectivity of the period map of $K3$ surfacespp. 119–125 8 Application of the Torelli-type theorem to automorphismspp. 127–136 9 Enriques surfacespp. 137–170 10 Application to the moduli space of plane quartic curvespp. 171–189 11 Finite groups of symplectic automorphisms of $K3$ surfaces and the Mathieu grouppp. 191–200 12 Automorphism group of the Kummer surface associated with a curve of genus 2pp. 201–221 Bibliographypp. 223–229 Indexpp. 231–236