We analyse infinitesimal deformations of pairs $(X,sF)$ with $sF$ a coherent sheaf on a smooth projective variety $X$ over an algebraically 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.
On deformations of pairs (manifold, coherent sheaf) / Iacono, Donatella; Manetti, Marco. - In: CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. - ISSN 0008-414X. - (2019), pp. 1209-1241. [10.4153/CJM-2018-027-8]
On deformations of pairs (manifold, coherent sheaf)
Manetti, Marco
2019
Abstract
We analyse infinitesimal deformations of pairs $(X,sF)$ with $sF$ a coherent sheaf on a smooth projective variety $X$ over an algebraically 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.File allegati a questo prodotto
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Note: https://arxiv.org/abs/1707.06612
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