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arXiv · 1707.06612

On deformations of pairs (manifold, coherent sheaf)

Donatella Iacono·Marco Manetti
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Abstract

We analyse infinitesimal deformations of pairs $(X,\mathcal{F})$ with $\mathcal{F}$ a coherent sheaf on a smooth projective manifold $X$ over an algebraic closed field of characteristic $0$. We describe a differential graded Lie algebra controlling the deformation problem, and we prove an analog of a Mukai-Artamkin Theorem about the trace map.

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Donatella Iacono, Marco Manetti. 2017-07-20. On deformations of pairs (manifold, coherent sheaf). https://doi.org/10.4153/cjm-2018-027-8

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