On the Singularity of Quillen Metrics
نویسنده
چکیده
Let π : X → S be a holomorphic map from a compact Kähler manifold (X, gX) to a compact Riemann surface S. Let Σπ be the critical locus of π and let ∆ = π(Σπ) be the discriminant locus. Let (ξ, hξ) be a holomorphic Hermitian vector bundle on X. We determine the singularity of the Quillen metric on detRπ∗ξ near ∆ with respect to gX |TX/S and hξ.
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