On Deformations of Pairs (Manifold, Coherent Sheaf)

Iacono, Donatella ; Manetti, Marco

Canadian journal of mathematics, Tome 71 (2019) no. 5, pp. 1209-1241

Résumé

We analyse infinitesimal deformations of pairs $(X,{\mathcal{F}})$ with ${\mathcal{F}}$ 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.

Détail

DOI : 10.4153/CJM-2018-027-8

Mots-clés : deformation of manifold and coherent sheaf, differential graded Lie algebra

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