dc.identifier.uri |
http://dx.doi.org/10.15488/3140 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/3170 |
|
dc.contributor.author |
Chen, Yao-Han
|
|
dc.contributor.author |
Yang, Yifan
|
|
dc.contributor.author |
Yui, Noriko
|
|
dc.contributor.author |
Erdenberger, Cord
|
|
dc.date.accessioned |
2018-04-19T06:54:23Z |
|
dc.date.available |
2018-04-19T06:54:23Z |
|
dc.date.issued |
2008 |
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dc.identifier.citation |
Chen, Y.-H.; Yang, Y.; Yui, N.; Erdenberger, C.: Monodromy of Picard-Fuchs differential equations for Calabi-Yau threefolds. In: Journal fur die Reine und Angewandte Mathematik 2008 (2008), Nr. 616, S. 167-203. DOI: https://doi.org/10.1515/CRELLE.2008.021 |
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dc.description.abstract |
In this paper we are concerned with the monodromy of Picard-Fuchs differential equations associated with one-parameter families of Calabi-Yau threefolds. Our results show that in the hypergeometric cases the matrix representations of monodromy relative to the Frobenius bases can be expressed in terms of the geometric invariants of the underlying Calabi-Yau threefolds. This phenomenon is also verified numerically for other families of Calabi-Yau threefolds in the paper. Furthermore, we discover that under a suitable change of bases the monodromy groups are contained in certain congruence subgroups of Sp(4, ℤ) of finite index and whose levels are related to the geometric invariants of the Calabi-Yau threefolds. © Walter de Gruyter. |
eng |
dc.language.iso |
eng |
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dc.publisher |
Berlin : De Gruyter |
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dc.relation.ispartofseries |
Journal fur die Reine und Angewandte Mathematik 2008 (2008), Nr. 616 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
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dc.subject |
Monodromy |
eng |
dc.subject |
Picard-Fuchs |
eng |
dc.subject |
Calabi-Yau threefolds |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Monodromy of Picard-Fuchs differential equations for Calabi-Yau threefolds |
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dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
0075-4102 |
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dc.relation.doi |
https://doi.org/10.1515/CRELLE.2008.021 |
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dc.bibliographicCitation.issue |
616 |
|
dc.bibliographicCitation.volume |
2008 |
|
dc.bibliographicCitation.firstPage |
167 |
|
dc.bibliographicCitation.lastPage |
203 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|