Mathematical Research Letters

Volume 21 (2014)

Number 1

Coherent sheaves on formal complete intersections via DG Lie algebras

Pages: 207 – 223



Sam Raskin (Department of Mathematics, Harvard University, Cambridge, Massachusetts, U.S.A.)


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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