Bound of automorphisms of projective varieties of general type

Hajime Tsuji

Bound of automorphisms of projective varieties of general type

Algebraic Geometry 2007-05-23 v1

Authors: Hajime Tsuji

Abstract

We prove that there exists a positive number $C_{n}$ depending only on $n$ such that for every smooth projective $n$ -fold of general type $X$ defined over {\bf C}, the automorphism group $Aut(X)$ satisfies the inequality $\sharp{Aut}(X)\leq C_{n}\cdot\mu (X,K_{X})$ , where $\mu (X,K_{X})$ is the volume of $X$ with respect to $K_{X}$ .

Keywords

automorphism groups projective varieties of general type volume of canonical bundle bounded automorphism groups

Cite

@article{arxiv.math/0004138,
  title  = {Bound of automorphisms of projective varieties of general type},
  author = {Hajime Tsuji},
  journal= {arXiv preprint arXiv:math/0004138},
  year   = {2007}
}

Comments

24pages

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