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arXiv · 1106.0255

Deligne pairing and determinant bundle

Indranil Biswas·Georg Schumacher·Lin Weng
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Abstract

Let $X \rightarrow S$ be a smooth projective surjective morphism, where $X$ and $S$ are integral schemes over complex numbers. Let L_0, L_1, .... L_{n-1}, L_{n} be line bundles over $X$. There is a natural isomorphism of the Deligne pairing $ $ with the determinant line bundle ${\rm Det}(\otimes_{i=0}^{n} (L_i- {\mathcal O}_{X}))$.

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Indranil Biswas, Georg Schumacher, Lin Weng. 2011-06-01. Deligne pairing and determinant bundle. https://arxiv.org/abs/1106.0255

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