Examples of Threefolds with Kodaira Dimension 1 or 2

  • Alberto Calabri

    Università di Ferrara, Italy
  • Masaaki Murakami

    Universität Bayreuth, Germany
  • Ezio Stagnaro

    Università di Padova, Italy

Abstract

We construct three nonsingular threefolds , and with vanishing irregularities. has Kodaira dimension and its -canonical transformation has the following property: the minimum integer number , such that the dimension of the image dim for , is given by . and have Kodaira dimension and their -canonical transformations have the properties: dim if and only if , dim if and only if or .

Cite this article

Alberto Calabri, Masaaki Murakami, Ezio Stagnaro, Examples of Threefolds with Kodaira Dimension 1 or 2. Rend. Sem. Mat. Univ. Padova 125 (2011), pp. 15–38

DOI 10.4171/RSMUP/125-2