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Manetti, Deformation theory via differential graded Lie algebras

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2026 1

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Deformations of morphisms of coherent sheaves

math.AG · 2026-05-19 · unverdicted · novelty 6.0

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.

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  • Deformations of morphisms of coherent sheaves math.AG · 2026-05-19 · unverdicted · none · ref 20

    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.