Boundedness of Automorphism Groups of Smooth Projective 3-Folds of General Type

Abstract

Let X be a smooth complex projective 3-fold of general type. We give effective upper bounds for the order of the automorphism group of X under certain conditions.

Key Words:

• Fourier–Mukai transforms

2000 Mathematics Subject Classification:

• 14H60
• 14E05

ACKNOWLEDGMENTS

I would like to thank professor Alfred Chen for valuable conversations and suggestions. I also thank professor De-Qi Zhang for useful suggestions during the preparation this note.

Notes

Communicated by L. Ein.