2011/06/01 by Indranil Biswas, Biswas, Indranil, Georg Schumacher +3
Mathematics · #14D06 #14F05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.AG #math.DG #msc:14D06 #msc:14F05
paper · pdf · doi:10.48550/arxiv.1106.0255
ERA Mathematical Sciences (to appear)
openalex publication_date 2011/06/01 · arxiv created 2011/06/04 · arxiv updated 2011/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X → S be a smooth projective surjective morphism, where X and S are integral schemes over complex numbers. Let L0, L1, .... Ln-1, Ln be line bundles over X. There is a natural isomorphism of the Deligne pairing <L0,...,Ln> with the determinant line bundle \rm Det(⊗i=0n (Li- \mathcal OX)).