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arXiv · 2507.20276

Joint Deformations of Manifolds, Coherent Sheaves and Sections

Donatella Iacono·Marco Manetti
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Abstract

We describe a differential graded Lie algebra controlling infinitesimal deformations of triples $(X,\mathcal{F},\sigma)$, where $\mathcal{F}$ is a coherent sheaf on a smooth variety $X$ over a field of characteristic 0 and $\sigma\in H^0(X,\mathcal{F})$. Then, we apply this result to investigate deformations of pairs (variety, divisor).

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Donatella Iacono, Marco Manetti. 2025-07-27. Joint Deformations of Manifolds, Coherent Sheaves and Sections. https://doi.org/10.3842/sigma.2026.009

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