ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES

作者:Henni Abdelmoubine Amar*; Jardim Marcos; Martins Renato Vidal
来源:Glasgow Mathematical Journal, 2015, 57(2): 285-321.
DOI:10.1017/S0017089514000305

摘要

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.

  • 出版日期2015-5