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- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 61 - 75 (15page)
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If is a polarizable endomorphism on a projective variety,then the Weil height machine guarantees that 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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참고문헌 (23)
참고문헌 신청
Baragar, A. / 2010 / K3 surfaces, rational curves, and rational points / J. Number Theory 130(7):1470~1479
Bhatnagar, A. / 2012 / Very ample polarized self maps extend to projective space / J. Algebra 351:251~253
Call, Gregory S. / 1993 / Canonical heights on varieties with morphisms / Compositio Math. 89(2):163~205
Demailly, J.-P. / 2001 / Multiplier ideal sheaves and analytic methods in algebraic geometry, in: School on Vanishing Theorems and Effective Results in Algebraic Geometry. Trieste 2000 / ICTP Lecture Notes 6:1~148
Grothendieck, A. / 1966 / Elements de Geometrie Algebrique IV, Etude locale des schemas et des morphismes de schemas. III / Inst. Hautes Etudes Sci. Publ. Math. (28)
Bhatnagar, A. / 2012 / Very ample polarized self maps extend to projective space / J. Algebra 351:251~253
Call, Gregory S. / 1993 / Canonical heights on varieties with morphisms / Compositio Math. 89(2):163~205
Demailly, J.-P. / 2001 / Multiplier ideal sheaves and analytic methods in algebraic geometry, in: School on Vanishing Theorems and Effective Results in Algebraic Geometry. Trieste 2000 / ICTP Lecture Notes 6:1~148
Grothendieck, A. / 1966 / Elements de Geometrie Algebrique IV, Etude locale des schemas et des morphismes de schemas. III / Inst. Hautes Etudes Sci. Publ. Math. (28)
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