E-factors for Gauss-manin Determinants
نویسنده
چکیده
We define ε-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. “Ordentliche Leute pflegten ihren Schatten mit sich zu nehmen, wenn sie in die Sonne gingen.” A. v. Chamisso, from ”Peter Schlemihls wundersame Geschichte”
منابع مشابه
A Formula for Gauss-manin Determinants
Let K be a function field over a field k of characteristic 0, and let j : U ⊂ PK be a Zariski open set of the projective line. We consider a flat connection (E,∇) on U . The de Rham cohomology groups H i DR(U/K,∇/K) carry a K/k connection, the Gauß-Manin connection, and taking the alternate tensor of the determinant connections ⊗(detH i DR(U/K,∇/K),Gauß−Manin) (−1)i , one defines the Gauß-Manin...
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