Tensor product of dualizing complexes over a field

Liran Shaul

doi:10.1007/978-3-319-45441-2_25

Tensor product of dualizing complexes over a field

Liran Shaul

Research output: Contribution to journal › Article › peer-review

Abstract

Given a field k, Noetherian k-schemes (resp., k-formal schemes) X, Y, and dualizing complexes R_X, R_Yover X, Y, we show that R_X⊠_kR_Y(resp., its derived completion) is a dualizing complex over X ×_kY if and only if X ×_kY is Noetherian of finite Krull dimension.

Original language	English
Pages (from-to)	143-147
Number of pages	5
Journal	Trends in Mathematics
Volume	5
DOIs	https://doi.org/10.1007/978-3-319-45441-2_25
State	Published - 1 Jan 2016
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/978-3-319-45441-2_25

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title = "Tensor product of dualizing complexes over a field",

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

author = "Liran Shaul",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",

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Y1 - 2016/1/1

N2 - Given a field k, Noetherian k-schemes (resp., k-formal schemes) X, Y, and dualizing complexes RX, RYover X, Y, we show that RX⊠kRY(resp., its derived completion) is a dualizing complex over X ×kY if and only if X ×kY is Noetherian of finite Krull dimension.

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

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DO - 10.1007/978-3-319-45441-2_25

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VL - 5

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JO - Trends in Mathematics

JF - Trends in Mathematics

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Tensor product of dualizing complexes over a field

Abstract

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