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Openness of Fourier--Mukai loci for algebraic spaces

Elías Guisado Villalgordo, Pat Lank

Source record

Source: arXiv

Published: Sep 1, 2026

arXiv: 2609.01298

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Source abstract

We develop a theory of relative perfect complexes on algebraic spaces. Our main result establishes openness for the loci where fibers of an integral transform are fully faithful (resp.\ an equivalence).

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Openness of Fourier--Mukai loci for algebraic spaces — Mathematical Frontier Network