A NOTE ON $ \mathbb{P}^1 $-BUNDLES AS HYPERPLANE SECTIONS

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概要

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• Let $ M $ be a five-dimensional manifold polarized by a very ample line bundle $ L $. We show that a smooth $ A \in \mid L \mid $ cannot be a holomorphic $ \mathbb{P}^1 $-bundle over a smooth projective $ 3 $-fold $ Y $, unless $ Y \fallingdotseq \mathbb{P}^3 $ and $ A \fallingdotseq \mathbb{P}^1 \times \mathbb{P}^3 $.

著者

• BELTRAMETTI Mauro

  Dipartimento di Matematica Via Dodecaneso

• FANIA Maria

  Dipartimento di Matematica Universita degli Studi di L'Aquila

• SOMMESE Andrew

  Departmetn of Mathematics University of Notre Dame

• Fania Maria

  Dipartimento Di Matematica Universita Degli Studi Di L'aquila

• Fania Maria

  Dipartimento Di Matematica Universita Degli Studi Dell'aquila

• Sommese Andrew

  Department Of Mathematics

• Beltrametti Mauro

  Dipartimento Di Matematica

• Fania Maria

  Dipartimento di Ingegneria e Scienze dellInformazione e Matematica, Università degli Studi di LAquila

関連論文

• A NOTE ON $ \mathbb{P}^1 $-BUNDLES AS HYPERPLANE SECTIONS
• Del Pezzo surfaces as hyperplane sections
• Double covers of P^n as very ample divisors
• Varieties whose surface sections are elliptic
• Projective surfaces with K-very ample line bundles of degree≦4K+4
• New properties of special varieties arising from adjunction theory
• A remark on the Kawamata rationality theorem
• On Higher Order Embeddings of Fano Threefolds by the Anticanonical Linear System
• Reducible hyperplane sections I Dedicated to the memory of our friend and colleague, Michael Schneider
• Extension of modifications of ample divisors on fourfolds: II
• A remark on the Kawamata rationality theorem

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