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On the order of certain characteristic classes of the Hodge bundle of semi-abelian schemes

Abstract:

We give a new proof of the fact that the even terms (of a multiple of) the Chern character of the Hodge bundles of semi-abelian schemes are torsion classes in Chow theory and we give explicit bounds for almost all the prime powers appearing in their order. These bounds appear in the numerators of modified Bernoulli numbers. We also obtain similar results in an equivariant situation.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/0-8176-4447-4_14

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Pembroke College
Role:
Author

Contributors

Role:
Editor
Role:
Editor
Role:
Editor


Publisher:
Birkhäuser
Host title:
Number Fields and Function Fields – Two Parallel Worlds
Pages:
287–310
Series:
Progress in Mathematics
Series number:
239
Place of publication:
Boston
Publication date:
2006-11-24
Edition:
1
DOI:
EISSN:
2296-505X
ISSN:
0743-1643
EISBN:
9780817644475
ISBN:
9780817643973


Language:
English
Pubs id:
pubs:745045
UUID:
uuid:25803cfa-7124-4bfa-8fd2-821a514511fb
Local pid:
pubs:745045
Source identifiers:
745045
Deposit date:
2018-05-05
ARK identifier:

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