On pluricanonical systems of algebraic varieties of general type

Meng Chen

Abstract

We extend Kollár's technique to look for an explicit function $h(n)$ with $\varphi_m$ birational onto its image for all integers $m \geq h(n)$ and for all $n$-dimensional nonsingular projective varieties of general type.

Article information

Dates
Revised: 11 September 2009
First available in Project Euclid: 24 November 2018

https://projecteuclid.org/ euclid.aspm/1543085641

Digital Object Identifier
doi:10.2969/aspm/06010215

Mathematical Reviews number (MathSciNet)
MR2761928

Zentralblatt MATH identifier
1214.14009

Citation

Chen, Meng. On pluricanonical systems of algebraic varieties of general type. Algebraic Geometry in East Asia — Seoul 2008, 215--236, Mathematical Society of Japan, Tokyo, Japan, 2010. doi:10.2969/aspm/06010215. https://projecteuclid.org/euclid.aspm/1543085641