A. A. Beilinson, S. J. Bloch, H. Esnault, “<nobr>$\varepsilon$</nobr>-factors for Gauss–Manin determinants”, Mosc. Math. J., 2002, Volume 2, Number 3,Pages <nobr>477

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$\varepsilon$-factors for Gauss–Manin determinants

A. A. Beilinson^a, S. J. Bloch^a, H. Esnault^b

^a University of Chicago
^b University of Duisburg-Essen, Department of Mathematics

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.

MSC: 14C40, 19E20, 14C99

Received: May 22, 2002

Language: English

DOI: 10.17323/1609-4514-2002-2-3-477-532