On K3 Surfaces Admitting Finite Non-Symplectic Group Actions

スポンサーリンク

概要

• 論文の詳細を見る

• For a pair $(X, G)$ of a complex K3 surface $X$ and its finite automorphism group $G$, we call the value $I(X, G) := |\Im(G\rightarrow \Aut(H^{2,0}(X)))|$ the transcendental value and the Euler number $\varphi(I(X,G))$ of $I(X,G)$ the transcendental index. This paper classifies the pairs $(X,G)$ with the maximal transcendental index $20$ and the pair $(X,G)$ with $I(X,G) = 40$ up to isomorphisms. We also determine the set of transcendental values and apply this to determine the set of global canonical indices of complex projective threefolds with only canonical singularities and with numerically trivial canonical Weil divisor.

• 東京大学の論文

著者

• Oguiso Keiji

  Department Of Economy Keio University

• Oguiso Keiji

  Department Of Mathematical Sciences University Of Tokyo

• Machida Natsumi

  Department of Mathematical Sciences, University of Tokyo

• Machida Natsumi

  Department Of Mathematical Sciences University Of Tokyo

関連論文

• On Jacobian fibrations on the Kummer surfaces of the product of non-isogenous elliptic curves
• On K3 Surfaces Admitting Finite Non-Symplectic Group Actions
• Mordell-Weil Groups of a Hyperkahler Manifold--A Question of F. Campana: Dedicated to Professor Heisuke Hironaka on his 77-th birthday

スポンサーリンク