Omega Admissible Theory II: New metrics on determinant of cohomology And Their applications to moduli spaces of punctured Riemann surfaces

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dc.creatorWeng, Lin
dc.date1998-10-19
dc.date.accessioned2026-07-07T05:26:32Z
dc.date.available2026-07-07T05:26:32Z
dc.descriptionFor singular metrics, there is no Quillen metric formalism on cohomology determinant. In this paper, we develop an admissible theory, with which the arithmetic Deligne-Riemann-Roch isometry can be established for singular metrics. As an application, we first study Weil-Petersson metrics and Takhtajan-Zograf metrics on moduli spaces of punctured Riemann surfaces, and then give a more geometric interpretation of our determinant metrics in terms of Selberg zeta functions. We end this paper by proposing an arithmetic factorization for Weil-Petersson metrics, cuspidal metrics and Selberg zeta functions.
dc.descriptionAMS-TEX
dc.identifierhttps://arxiv.org/abs/math/9810116
dc.identifierhttp://arxiv.org/abs/math/9810116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77580
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleOmega Admissible Theory II: New metrics on determinant of cohomology And Their applications to moduli spaces of punctured Riemann surfaces
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