Deligne-Riemann-Roch Theorems I. Uniqueness of Deligne Pairings and Degree 1 Part of Deligne-Riemann-Roch Isomorphisms
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deligne-riemann-rochdegreedeligneestablishisomorphismspairingsparttheorem
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This is the first of a series of papers. Our final goal is to establish Deligne-Riemann-Roch isomorphisms in various settings. In this paper, we establish a uniqueness theorem for Deligne pairings and prove the degree $1$ part of the Deligne-Riemann-Roch theorem.
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