Skip to main content
SpringerLink
Log in

Smooth 4-folds which contain a P1-bundle¶as an ample divisor

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract:

We show that if a smooth projective 4-fold M contains an ample divisor A which is P 1-bundle π :A→S over a smooth projective surface S, π is extended to a P 2-bundle π :S→S, unless $A$ is isomorphic to P 2×P 1.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Graduate School of Mathematics, Kyushu University, Hakozaki, Higashi-ku, Fukuoka 812, Japan. e-mail: esato@math.kyushu-u.ac.jp, , , , , , JP

    Eiichi Sato

  2. Institute of Mathematics, Fudan University, Shanghai 200433, P.R. China, , , , , , CN

    Zhao Yicai

Authors
  1. Eiichi Sato
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhao Yicai
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 28 September 1998 / Revised version: 16 August 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sato, E., Yicai, Z. Smooth 4-folds which contain a P1-bundle¶as an ample divisor. manuscripta math. 101, 313–323 (2000). https://doi.org/10.1007/s002290050218

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002290050218

Search

Navigation