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Mixed Hodge complexes and L^2-cohomology...

Müller-Stach, S....

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Mixed Hodge complexes and L^2-cohomology for local systems on ball quotients by Müller-Stach, S. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	07-08-2023
Summary	We study the $L^2$--cohomology of certain local systems on non-compact arithmetic ball quotients $X=\Gamma \backslash \B_n$, in particular vanishing and non--vanishing results. We also give generalizations to higher dimensional ball quotients and study the mixed Hodge structure on the sheaf cohomology of a local system with the $L^2$-cohomology contributing to the lowest weight part.
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/0707.3084

Citation

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AMA 11th EditionReferences

Müller-Stach, S.. Mixed Hodge complexes and L^2-cohomology for local systems on ball quotients. N.A. August 07, 2023. Accessed October 01, 2025. https://online.provdatabase.com/cite/11966

APA 7th EditionReferences

Müller-Stach, S.. (2023). Mixed Hodge complexes and L^2-cohomology for local systems on ball quotients. N.A. https://online.provdatabase.com/cite/11966

Chicago 17th EditionReferences

Müller-Stach, S.. Mixed Hodge complexes and L^2-cohomology for local systems on ball quotients. N.A. 2023. https://online.provdatabase.com/cite/11966

HarvardReferences

Müller-Stach, S.. (2023). Mixed Hodge complexes and L^2-cohomology for local systems on ball quotients. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11966. (Accessed 01 October 2025).

Harvard AustraliaReferences

Müller-Stach, S., 2023, Mixed Hodge complexes and L^2-cohomology for local systems on ball quotients, N.A, viewed 01 October 2025, <https://online.provdatabase.com/cite/11966>

MLA 9th EditionWorks Cited

Müller-Stach, S.. Mixed Hodge complexes and L^2-cohomology for local systems on ball quotients. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/11966.

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