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arXiv · 1210.2827

Proper local complete intersection morphisms preserve perfect complexes

B. Toën
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Abstract

Let $f : X \longrightarrow Y$ be a proper and local complete intersection morphism of schemes. We prove that $\mathbb{R}f_{*}$ preserves perfect complexes, without any projectivity or noetherian assumptions. This provides a different proof of a theorem by Neeman and Lipman based on techniques from derived algebraic geometry to proceed a reduction to the noetherian case.

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B. Toën. 2012-10-10. Proper local complete intersection morphisms preserve perfect complexes. https://arxiv.org/abs/1210.2827

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