Intersections of arithmetic Hirzebruch-Zagier cycles
Intersections of arithmetic Hirzebruch-Zagier cycles
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DissertationDate of Exam
29.05.2009Date of Publication
15.06.2009Advisor
Rapoport, MichaelCo-Referee
Franke, JensMetadata
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Abstract
We establish a close connection between the intersection multiplicities of three arithmetic Hirzebruch-Zagier cycles and the Fourier coefficients of the derivative of a certain Siegel-Eisenstein series. Our main result proves a conjecture of Kudla and Rapoport.
Subjects
Abelsches Schema, Shimuravarietät, p-dividierbare Gruppe, Modulraum, Schnitttheorie, Eisensteinreihe
Classification (DDC)
510 MathematikTerstiege, Ulrich: Intersections of arithmetic Hirzebruch-Zagier cycles. - Bonn, 2009. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5N-17878
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5N-17878
@phdthesis{handle:20.500.11811/4085,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5N-17878,
author = {{Ulrich Terstiege}},
title = {Intersections of arithmetic Hirzebruch-Zagier cycles},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2009,
month = jun,
note = {We establish a close connection between the intersection multiplicities of three arithmetic Hirzebruch-Zagier cycles and the Fourier coefficients of the derivative of a certain Siegel-Eisenstein series. Our main result proves a conjecture of Kudla and Rapoport.},
url = {https://hdl.handle.net/20.500.11811/4085}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5N-17878,
author = {{Ulrich Terstiege}},
title = {Intersections of arithmetic Hirzebruch-Zagier cycles},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2009,
month = jun,
note = {We establish a close connection between the intersection multiplicities of three arithmetic Hirzebruch-Zagier cycles and the Fourier coefficients of the derivative of a certain Siegel-Eisenstein series. Our main result proves a conjecture of Kudla and Rapoport.},
url = {https://hdl.handle.net/20.500.11811/4085}
}
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