Monodromy of Picard-Fuchs differential equations for Calabi-Yau threefolds

Show simple item record

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
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
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
dc.publisher Berlin : De Gruyter
dc.relation.ispartofseries Journal fur die Reine und Angewandte Mathematik 2008 (2008), Nr. 616
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.
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
dc.type article
dc.type Text
dc.relation.issn 0075-4102
dc.relation.doi https://doi.org/10.1515/CRELLE.2008.021
dc.bibliographicCitation.issue 616
dc.bibliographicCitation.volume 2008
dc.bibliographicCitation.firstPage 167
dc.bibliographicCitation.lastPage 203
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


Files in this item

This item appears in the following Collection(s):

Show simple item record

 

Search the repository


Browse

My Account

Usage Statistics