Generalizes Hinich's theorem on Deligne groupoid descent to dgLas with no negative cohomology and constructs an explicit dgLa via Thom-Whitney totalisation to control deformations of morphisms of coherent sheaves.
Manetti, Lie methods in deformation theory
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Deformations of morphisms of coherent sheaves
Generalizes Hinich's theorem on Deligne groupoid descent to dgLas with no negative cohomology and constructs an explicit dgLa via Thom-Whitney totalisation to control deformations of morphisms of coherent sheaves.