Coherent sheaves on formal complete intersections via DG Lie algebras
Sam Raskin
TL;DR
This paper provides a criterion for coherence of sheaves on adically complete DG schemes and describes them via modules over DG Lie algebras, advancing understanding of sheaves on singular spaces.
Contribution
It introduces a new criterion for coherence and links sheaves on complete intersections to DG Lie algebra modules, offering a novel algebraic perspective.
Findings
Criterion for coherence on adic DG schemes
Description of sheaves on lci singularities via DG Lie algebra modules
Enhanced understanding of sheaves on singular algebraic structures
Abstract
We establish a criterion for sheaves on an adically complete DG scheme to be coherent. We deduce a description of coherent sheaves on an adically complete lci singularity in terms of modules for a DG Lie algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Algebra and Geometry