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On a conjecture of Deligne

Drinfeld, Vladimir...

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On a conjecture of Deligne by Drinfeld, Vladimir ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	Let X be a smooth variety over $F_p$. Let E be a number field. For each nonarchimedean place $\lambda$ of E prime to p consider the set of isomorphism classes of irreducible lisse $\bar{E}_{\lambda}$-sheaves on X with determinant of finite order such that for every closed point x in X the characteristic polynomial of the Frobenius $F_x$ has coefficents in E. We prove that this set does not depend on $\lambda$. The idea is to use a method developed by G.Wiesend to reduce the problem to the case where X is a curve. This case was treated by L. Lafforgue.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1007.4004

Citation

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AMA 11th EditionReferences

Drinfeld, Vladimir. On a conjecture of Deligne. Australian National University. July 27, 2023. Accessed September 19, 2024. https://online.provdatabase.com/cite/4711

APA 7th EditionReferences

Drinfeld, Vladimir. (2023). On a conjecture of Deligne. Australian National University. https://online.provdatabase.com/cite/4711

Chicago 17th EditionReferences

Drinfeld, Vladimir. On a conjecture of Deligne. Australian National University. 2023. https://online.provdatabase.com/cite/4711

HarvardReferences

Drinfeld, Vladimir. (2023). On a conjecture of Deligne. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/4711. (Accessed 19 September 2024).

Harvard AustraliaReferences

Drinfeld, Vladimir, 2023, On a conjecture of Deligne, Australian National University, viewed 19 September 2024, <https://online.provdatabase.com/cite/4711>

MLA 9th EditionWorks Cited

Drinfeld, Vladimir. On a conjecture of Deligne. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/4711.

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