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AN UPPER BOUND FOR THE HEIGHT FOR REGULAR AFFINE AUTOMORPHISMS OF AN
- Authors
- 이종규
- Issue Date
- Jan-2013
- Publisher
- SPRINGER
- Citation
- MATHEMATISCHE ANNALEN, v.355, no.1, pp.1 - 16
- Journal Title
- MATHEMATISCHE ANNALEN
- Volume
- 355
- Number
- 1
- Start Page
- 1
- End Page
- 16
- ISSN
- 0025-5831
- Abstract
- Kawaguchi (Math. Ann. 335(2):285-310, 359-374, 2006) proved a height inequality for when f is a regular affine automorphism of , and he conjectured that a similar estimate is also true for regular affine automorphisms of for n a parts per thousand yen 3. In this paper we prove Kawaguchi's conjecture. This implies that Kawaguchi's theory of canonical heights for regular affine automorphisms of projective space is true in all dimensions.
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Related Researcher
- Lee, Chong Gyu
- College of Natural Sciences (Department of Mathematics)