標題: Monodromy of Picard-Fuchs differential equations for Calabi-Yau threefolds
作者: Chen, Yao-Han
Yang, Yian
Yui, Noriko
Erdenberger, Cord
應用數學系
Department of Applied Mathematics
公開日期: 1-Mar-2008
摘要: 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.
URI: http://dx.doi.org/10.1515/CRELLE.2008.021
http://hdl.handle.net/11536/9600
ISSN: 0075-4102
DOI: 10.1515/CRELLE.2008.021
期刊: JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
Volume: 616
Issue: 
起始頁: 167
結束頁: 203
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