The Nonvanishing Problem for varieties with nef anticanonical bundle

  • Vladimir Lazić

    Universität des Saarlandes, Saarbrücken, Germany
  • Shin-ichi Matsumura

    Tohoku University, Sendai, Japan
  • Thomas Peternell

    Universität Bayreuth, Bayreuth, Germany
  • Nikolaos Tsakanikas

    École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
  • Zhixin Xie

    Université de Lorraine, Nancy, France
The Nonvanishing Problem for varieties with nef anticanonical bundle cover
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Abstract

We prove that if is a threefold pair with mild singularities such that is nef, then the numerical class of is effective.

Cite this article

Vladimir Lazić, Shin-ichi Matsumura, Thomas Peternell, Nikolaos Tsakanikas, Zhixin Xie, The Nonvanishing Problem for varieties with nef anticanonical bundle. Doc. Math. 28 (2023), no. 6, pp. 1393–1440

DOI 10.4171/DM/936