RULED SURFACES WITH NON-TRIVIAL SURJECTIVE ENDOMORPHISMS

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概要

• 論文の詳細を見る

• Let $ X $ be a non-singular ruled surface over an algebraically closed field of characteristic zero. There is a non-trivial surjective endomorphism $ f : X \rightarrow X $ if and only if $ X $ is (1) a toric surface, (2) a $ \mathbb{P}^1 $-bundle over an elliptic curve, or (3) the direct product of $ \mathbb{P}^1 $ and a non-singular curve up to finite etale coverings.

• Faculty of Mathematics, Kyushu Universityの論文

著者

• Nakayama Noboru

  Research Institute For Mathematical Sciences Kyoto University

関連論文

• Classification of normal quartic surfaces with irrational singularities
• Intersection sheaves over normal schemes
• Complex projective manifolds which admit non-isomorphic surjective endomorphisms (Higher Dimensional Algebraic Varieties and Vector Bundles)
• Projective algebraic varieties whose universal covering spaces are biholomorphic to C^n
• Compact complex surfaces admitting non-trivial surjective endomorphisms
• RULED SURFACES WITH NON-TRIVIAL SURJECTIVE ENDOMORPHISMS

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