Tensor product of dualizing complexes over a field

Liran Shaul

Research output: Contribution to journalArticlepeer-review

Abstract

Given a field k, Noetherian k-schemes (resp., k-formal schemes) X, Y, and dualizing complexes RX, RYover X, Y, we show that RXkRY(resp., its derived completion) is a dualizing complex over X ×kY if and only if X ×kY is Noetherian of finite Krull dimension.

Original languageEnglish
Pages (from-to)143-147
Number of pages5
JournalTrends in Mathematics
Volume5
DOIs
StatePublished - 1 Jan 2016
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)

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