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Determinant functors and deformation of Chow groups (2212.12689v1)
Published 24 Dec 2022 in math.AG
Abstract: Using determinant functor, we describe a natural transformation from local Hilbert functor to K-theoretic cycle groups of codimension one, which were variants of Balmer's tensor triangular Chow groups. This enables us to answers a question of Bloch on infinitesimal deformation of Chow groups of divisors.
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