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Fibres non r\'eduites d'un sch\'ema arit...

Liu, Chunhui...

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Fibres non r\'eduites d'un sch\'ema arithm\'etique by Liu, Chunhui ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	10-08-2023
Summary	For a reduced projective scheme over the ring of integers of a number field, the set of places over which the fibres of the scheme are not reduced is a finite set. We give an explicit upper bound for the product of the norms of places in this set. For this purpose, we introduce a generalization of the notion of height over the adelic ring. We reduce the general case of a scheme of pure dimension to the case of a hypersurface by using the theory of Chow varieties. The case of a hypersurface is then treated with the help of the resultant of the equation of the hypersurface with some partial derivatives of the equation.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1609.08979

Citation

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AMA 11th EditionReferences

Liu, Chunhui. Fibres non r\'eduites d'un sch\'ema arithm\'etique. Australian National University. August 10, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/14075

APA 7th EditionReferences

Liu, Chunhui. (2023). Fibres non r\'eduites d'un sch\'ema arithm\'etique. Australian National University. https://online.provdatabase.com/cite/14075

Chicago 17th EditionReferences

Liu, Chunhui. Fibres non r\'eduites d'un sch\'ema arithm\'etique. Australian National University. 2023. https://online.provdatabase.com/cite/14075

HarvardReferences

Liu, Chunhui. (2023). Fibres non r\'eduites d'un sch\'ema arithm\'etique. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/14075. (Accessed 02 October 2025).

Harvard AustraliaReferences

Liu, Chunhui, 2023, Fibres non r\'eduites d'un sch\'ema arithm\'etique, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/14075>

MLA 9th EditionWorks Cited

Liu, Chunhui. Fibres non r\'eduites d'un sch\'ema arithm\'etique. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/14075.

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