ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES
Glasgow mathematical journal, Tome 57 (2015) no. 2, pp. 285-321
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We present a construction of framed torsion free instanton sheaves on a projective variety containing a fixed line which further generalises the one on projective spaces. This is done by generalising the so called ADHM variety. We show that the moduli space of such objects is a quasi projective variety, which is fine in the case of projective spaces. We also give an ADHM categorical description of perverse instanton sheaves in the general case, along with a hypercohomological characterisation of these sheaves in the particular case of projective spaces.
HENNI, ABDELMOUBINE AMAR; JARDIM, MARCOS; MARTINS, RENATO VIDAL. ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES. Glasgow mathematical journal, Tome 57 (2015) no. 2, pp. 285-321. doi: 10.1017/S0017089514000305
@article{10_1017_S0017089514000305,
author = {HENNI, ABDELMOUBINE AMAR and JARDIM, MARCOS and MARTINS, RENATO VIDAL},
title = {ADHM {CONSTRUCTION} {OF} {PERVERSE} {INSTANTON} {SHEAVES}},
journal = {Glasgow mathematical journal},
pages = {285--321},
year = {2015},
volume = {57},
number = {2},
doi = {10.1017/S0017089514000305},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000305/}
}
TY - JOUR AU - HENNI, ABDELMOUBINE AMAR AU - JARDIM, MARCOS AU - MARTINS, RENATO VIDAL TI - ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES JO - Glasgow mathematical journal PY - 2015 SP - 285 EP - 321 VL - 57 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000305/ DO - 10.1017/S0017089514000305 ID - 10_1017_S0017089514000305 ER -
%0 Journal Article %A HENNI, ABDELMOUBINE AMAR %A JARDIM, MARCOS %A MARTINS, RENATO VIDAL %T ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES %J Glasgow mathematical journal %D 2015 %P 285-321 %V 57 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000305/ %R 10.1017/S0017089514000305 %F 10_1017_S0017089514000305
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