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Moscow Mathematical Journal, 2002, Volume 2, Number 3, Pages 477–532
DOI: https://doi.org/10.17323/1609-4514-2002-2-3-477-532 (Mi mmj61) 		 
This article is cited in 49 scientific papers (total in 49 papers)

$\varepsilon$-factors for Gauss–Manin determinants

A. A. Beilinsona, S. J. Blocha, H. Esnaultb

a University of Chicago
b University of Duisburg-Essen, Department of Mathematics
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DOI: https://doi.org/10.17323/1609-4514-2002-2-3-477-532
Abstract: We define $\varepsilon$-factors in the de Rham setting and calculate the determinant of the Gauss–Manin connection for a family of (affine) curves and a vector bundle equipped with a flat connection.
Key words and phrases: $\varepsilon$-factors, cohomology determinant, D-modules.
Received: May 22, 2002
Bibliographic databases:
MSC: 14C40, 19E20, 14C99
Language: English
Citation: A. A. Beilinson, S. J. Bloch, H. Esnault, “$\varepsilon$-factors for Gauss–Manin determinants”, Mosc. Math. J., 2:3 (2002), 477–532
Citation in format AMSBIB
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\by A.~A.~Beilinson, S.~J.~Bloch, H.~Esnault
\paper $\varepsilon$-factors for Gauss--Manin determinants
\jour Mosc. Math.~J.
\yr 2002
\vol 2
\issue 3
\pages 477--532
\mathnet{http://mi.mathnet.ru/mmj61}
\crossref{https://doi.org/10.17323/1609-4514-2002-2-3-477-532}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1988970}
\zmath{https://zbmath.org/?q=an:1061.14010}
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    • This publication is cited in the following 49 articles:
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