Transfers on commutative group schemes
Junnosuke Koizumi
TL;DR
This paper establishes that commutative group schemes over noetherian normal schemes can be equipped with a canonical presheaf with transfers, characterized by radicial transfer conditions, enriching their structural understanding.
Contribution
It introduces a canonical presheaf with transfers structure on commutative group schemes over noetherian normal schemes, characterized by radicial transfer conditions.
Findings
Canonical presheaf with transfers exists for these schemes
Characterization via radicial transfers is established
Structural implications for group schemes are derived
Abstract
We prove that any commutative group scheme separated over a noetherian normal scheme admits a canonical structure of a presheaf with transfers, which is characterized by a simple condition on radicial transfers.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Algebraic structures and combinatorial models