HEIGHT ESTIMATES FOR DOMINANT ENDOMORPHISMS ON PROJECTIVE VARIETIES
- Authors
- 이종규
- Issue Date
- Jan-2016
- Publisher
- 영남수학회
- Keywords
- height; dominant endomorphism; Northcott' s theorem
- Citation
- East Asian Mathematical Journal, v.32, no.1, pp.61 - 75
- Journal Title
- East Asian Mathematical Journal
- Volume
- 32
- Number
- 1
- Start Page
- 61
- End Page
- 75
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/7905
- DOI
- 10.7858/eamj.2016.007
- ISSN
- 1226-6973
- Abstract
- If φ is a polarizable endomorphism on a projective variety,then the Weil height machine guarantees that φ satis es Northcott's the-orem. In this paper, we show that Northcott's theorem only holds forpolarizable endomorphisms and generalize this result to arbitrary domi-nant endomorphisms: we introduce the height expansion and contractioncoe cients which provide weak Northcott's theorem for dominant endo-morphisms. We also give some applications of the height expansion andcontraction coe cients.
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