2 papers
math.AG2026
Openness of Fourier--Mukai loci for algebraic spaces
Elías Guisado Villalgordo, Pat Lank
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 (r…
math.AG2025
Fiberwise criteria for Fourier--Mukai equivalences
Elías Guisado Villalgordo, Pat Lank, Kabeer Manali Rahul +1
We study the behavior of integral transforms under base change. In particular, we establish a yoga of local algebra and fibers to test for derived equivalences or fully faithfulnes…