Modular forms and special cycles on Shimura curves (AM-161)

Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface ""M"" attached to a Shimura curve ""M"" over the field of rational nu...

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Detalles Bibliográficos
Autores principales: Kudla, Stephen S, Rapoport, Michael, Yang, Tonghai
Lenguaje:eng
Publicado: Princeton University Press 2006
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1985502
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author Kudla, Stephen S
Rapoport, Michael
Yang, Tonghai
author_facet Kudla, Stephen S
Rapoport, Michael
Yang, Tonghai
author_sort Kudla, Stephen S
collection CERN
description Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface ""M"" attached to a Shimura curve ""M"" over the field of rational numbers. These generating functions are shown to be the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soulé arithmetic Chow groups of ""M"". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil
id cern-1985502
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
publisher Princeton University Press
record_format invenio
spelling cern-19855022021-04-21T20:37:26Zhttp://cds.cern.ch/record/1985502engKudla, Stephen SRapoport, MichaelYang, TonghaiModular forms and special cycles on Shimura curves (AM-161)Mathematical Physics and Mathematics Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface ""M"" attached to a Shimura curve ""M"" over the field of rational numbers. These generating functions are shown to be the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soulé arithmetic Chow groups of ""M"". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-WeilPrinceton University Pressoai:cds.cern.ch:19855022006
spellingShingle Mathematical Physics and Mathematics
Kudla, Stephen S
Rapoport, Michael
Yang, Tonghai
Modular forms and special cycles on Shimura curves (AM-161)
title Modular forms and special cycles on Shimura curves (AM-161)
title_full Modular forms and special cycles on Shimura curves (AM-161)
title_fullStr Modular forms and special cycles on Shimura curves (AM-161)
title_full_unstemmed Modular forms and special cycles on Shimura curves (AM-161)
title_short Modular forms and special cycles on Shimura curves (AM-161)
title_sort modular forms and special cycles on shimura curves (am-161)
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1985502
work_keys_str_mv AT kudlastephens modularformsandspecialcyclesonshimuracurvesam161
AT rapoportmichael modularformsandspecialcyclesonshimuracurvesam161
AT yangtonghai modularformsandspecialcyclesonshimuracurvesam161

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