Complex varieties of general type whose canonical systems are composed with pencils

  • CHEN Meng
    Department of Applied Mathematics Tongji University

この論文をさがす

抄録

This paper aims to study a variety of general type whose canonical system is composed with a pencil. This kind of variety admits a natural fibration onto a nonsingular curve. A natural problem is whether the geometric genus of the general fiber of this fibration is bounded. A simple classification is given in this paper. When the object is a nonsingular minimal 3-fold of general type, if the canonical system is composed of an irrational pencil, then the geometric genus of the general fibre is bounded. If the canonical system is composed of a rational pencil, it seems that the geometric genus of the general fibre is not bounded though no counter examples have been found.

収録刊行物

被引用文献 (1)*注記

もっと見る

参考文献 (10)*注記

もっと見る

詳細情報 詳細情報について

問題の指摘

ページトップへ