Small bound for birational automorphism groups of algebraic varieties (with an Appendix by Yujiro Kawamata)

Details Small bound for birational automorphism groups of algebraic varieties (with an Appendix by Yujiro Kawamata) Small bound for birational automorphism groups of algebraic varieties (with an Appendix by Yujiro Kawamata)

2006-09-04

arxiv.org/abs/math/0609083v1

Mathematics

Algebraic Geometry

Mathematische Annalen, to appear

Scientific paper

We give an effective upper bound of |Bir(X)| for the birational automorphism group of an irregular n-fold (with n = 3) of general type in terms of the volume V = V(X) under an ''albanese smoothness and simplicity'' condition. To be precise, |Bir(X)| < d_3 V^{10}. An optimum linear bound |Bir(X)|-1 < (1/3)(42)^3 V is obtained for those 3-folds with non-maximal albanese dimension. For all n > 2, a bound |Bir(X)| < d_n V^{10} is obtained when alb_X is generically finite, alb(X) is smooth and Alb(X) is simple.

Affiliated with

Also associated with

No associations

Rating

Small bound for birational automorphism groups of algebraic varieties (with an Appendix by Yujiro Kawamata) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Small bound for birational automorphism groups of algebraic varieties (with an Appendix by Yujiro Kawamata), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Small bound for birational automorphism groups of algebraic varieties (with an Appendix by Yujiro Kawamata) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727288