Deligne pairing and determinant bundle

Indranil Biswas, Georg Schumacher, Lin Weng

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Let X → S be a smooth projective surjective morphism, where X and S are integral schemes over ℂ. Let L0,L1, · · ·,Ln-1,Ln be line bun- dles over X. There is a natural isomorphism of the Deligne pairing 〈L0, · · ·,Ln〉 with the determinant line bundle Det(⊕ n/i=0(Li - OX)).

Original languageEnglish
Pages (from-to)91-96
Number of pages6
JournalElectronic Research Announcements in Mathematical Sciences
Volume18
DOIs
Publication statusPublished - Dec 1 2011

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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