Tensor product of dualizing complexes over a field

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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.

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APA

Shaul, L. (2016). Tensor product of dualizing complexes over a field. In Trends in Mathematics (Vol. 5, pp. 143–147). Springer International Publishing. https://doi.org/10.1007/978-3-319-45441-2_25

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