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

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Line Bundle
Pairing
Bundle
Determinant
Morphism
Isomorphism

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Deligne pairing and determinant bundle. / Biswas, Indranil; Schumacher, Georg; Weng, Lin.

In: Electronic Research Announcements in Mathematical Sciences, Vol. 18, 01.12.2011, p. 91-96.

Research output: Contribution to journalArticle

Biswas, Indranil ; Schumacher, Georg ; Weng, Lin. / Deligne pairing and determinant bundle. In: Electronic Research Announcements in Mathematical Sciences. 2011 ; Vol. 18. pp. 91-96.
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