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arXiv · 1201.5657

ADHM construction of perverse instanton sheaves

Abdelmoubine Amar Henni·Marcos Jardim·Renato Vidal Martins
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Abstract

We present a construction of framed torsion free instanton sheaves on a projective variety containing a fixed line which further generalizes the one on projective spaces. This is done by generalizing 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 characterization of these sheaves in the particular case of projective spaces.

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Abdelmoubine Amar Henni, Marcos Jardim, Renato Vidal Martins. 2012-01-26. ADHM construction of perverse instanton sheaves. https://doi.org/10.1017/s0017089514000305

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