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Curves in Hilbert modular varieties

Rousseau, Erwan...

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Curves in Hilbert modular varieties by Rousseau, Erwan ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	07-09-2023
Summary	We prove a boundedness-theorem for families of abelian varieties with real multiplication. More generally, we study curves in Hilbert modular varieties from the point of view of the Green Griffiths-Lang conjecture claiming that entire curves in complex projective varieties of general type should be contained in a proper subvariety. Using holomorphic foliations theory, we establish a Second Main Theorem following Nevanlinna theory. Finally, with a metric approach, we establish the strong Green-Griffiths-Lang conjecture for Hilbert modular varieties up to finitely many possible exceptions.
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/1501.03261

Citation

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AMA 11th EditionReferences

Rousseau, Erwan. Curves in Hilbert modular varieties. Australian National University. September 07, 2023. Accessed November 01, 2024. https://online.provdatabase.com/cite/24213

APA 7th EditionReferences

Rousseau, Erwan. (2023). Curves in Hilbert modular varieties. Australian National University. https://online.provdatabase.com/cite/24213

Chicago 17th EditionReferences

Rousseau, Erwan. Curves in Hilbert modular varieties. Australian National University. 2023. https://online.provdatabase.com/cite/24213

HarvardReferences

Rousseau, Erwan. (2023). Curves in Hilbert modular varieties. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24213. (Accessed 01 November 2024).

Harvard AustraliaReferences

Rousseau, Erwan, 2023, Curves in Hilbert modular varieties, Australian National University, viewed 01 November 2024, <https://online.provdatabase.com/cite/24213>

MLA 9th EditionWorks Cited

Rousseau, Erwan. Curves in Hilbert modular varieties. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24213.

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