Abstract:
We conjecture that the zeta-regularized determinant of the Laplace operator with coefficients in a holomorphic vector bundle on a compact Kähler manifold remains bounded when the metric on the bundle varies. This conjecture is shown to be true for certain classes of line bundles on Riemann surfaces.
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Received: 7 July 1997 / Accepted: 20 April 1998
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Gillet, H., Soulé, C. Upper Bounds for Regularized Determinants. Comm Math Phys 199, 99–115 (1998). https://doi.org/10.1007/s002200050496
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DOI: https://doi.org/10.1007/s002200050496