m at h . A G ] 1 7 A pr 1 99 9 GAUSS - MANIN DETERMINANTS FOR RANK 1 IRREGULAR CONNECTIONS ON CURVES
نویسنده
چکیده
Let f : U → Spec (K) be a smooth open curve over a field K ⊃ k, where k is an algebraically closed field of characteristic 0. Let ∇ : L → L ⊗ Ω1U/k be a (possibly irregular) absolute, integrable connection on a line bundle L. A formula is given for the determinant of de Rham cohomology with its Gauß-Manin connection ( detRf∗(L ⊗ Ω1U/K), det∇GM )
منابع مشابه
0 Gauss - Manin Determinants for Rank 1 Irregular Connections on Curves
Let f : U → Spec (K) be a smooth open curve over a field K ⊃ k, where k is an algebraically closed field of characteristic 0. Let ∇ : L → L ⊗ Ω1U/k be a (possibly irregular) absolutely integrable connection on a line bundle L. A formula is given for the determinant of de Rham cohomology with its Gauß-Manin connection ( detRf∗(L⊗Ω1U/K), det∇GM ) . The formula is expressed as a norm from the curv...
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تاریخ انتشار 2009