A. Beilinson

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19982003

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math.AG2001

$ε$ -factors for Gauss-Manin determinants

Alexander Beilinson, Spencer Bloch, Hélène Esnault

This is the last version of AG/0111277. Here the old abstract: We define $ε$ -factors in the de Rham setting and calculate the determinant of the Gauß-Manin connection for a family…

math.AG1998

Torelli theorem via Fourier-Mukai transform

Alexander Beilinson, Alexander Polishchuk

We show that the Fourier transform on the Jacobian of a curve interchanges " $δ$ functions" at the curve and the theta divisor. The Torelli theorem is an immediate consequence.

ε-factors for Gauss-Manin determinants

Torelli theorem via Fourier-Mukai transform

$ε$ -factors for Gauss-Manin determinants