Geodesic
On Deformations of Pairs (Manifold, Coherent Sheaf)
Canadian journal of mathematics, Tome 71 (2019) no. 5, pp. 1209-1241

Voir la notice de l'article provenant de la source Cambridge

DOI

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.
DOI : 10.4153/CJM-2018-027-8
Mots-clés : deformation of manifold and coherent sheaf, differential graded Lie algebra 
Iacono, Donatella; Manetti, Marco. On Deformations of Pairs (Manifold, Coherent Sheaf). Canadian journal of mathematics, Tome 71 (2019) no. 5, pp. 1209-1241. doi: 10.4153/CJM-2018-027-8
@article{10_4153_CJM_2018_027_8,
     author = {Iacono, Donatella and Manetti, Marco},
     title = {On {Deformations} of {Pairs} {(Manifold,} {Coherent} {Sheaf)}},
     journal = {Canadian journal of mathematics},
     pages = {1209--1241},
     year = {2019},
     volume = {71},
     number = {5},
     doi = {10.4153/CJM-2018-027-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-027-8/}
}
TY  - JOUR
AU  - Iacono, Donatella
AU  - Manetti, Marco
TI  - On Deformations of Pairs (Manifold, Coherent Sheaf)
JO  - Canadian journal of mathematics
PY  - 2019
SP  - 1209
EP  - 1241
VL  - 71
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-027-8/
DO  - 10.4153/CJM-2018-027-8
ID  - 10_4153_CJM_2018_027_8
ER  - 
%0 Journal Article
%A Iacono, Donatella
%A Manetti, Marco
%T On Deformations of Pairs (Manifold, Coherent Sheaf)
%J Canadian journal of mathematics
%D 2019
%P 1209-1241
%V 71
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-027-8/
%R 10.4153/CJM-2018-027-8
%F 10_4153_CJM_2018_027_8

Cité par Sources :