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Explicit Deligne pairing

2019/11/13 by Dolce, Paolo
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.05367

Abstract

We give an explicit formula for the Deligne pairing for a proper and flat morphisms f:X→ S of schemes, in terms of the determinant of cohomology. The whole construction is justified by an analogy with the intersection theory on non-singular projective algebraic varieties.

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