This dissertation is centered on the moduli space of what we call framed symplectic sheaves on a surface, compactifying the corresponding moduli space of framed principal SP−bundles. It contains the construction of the moduli space, which is carried out for every smooth projective surface X with a big and nef framing divisor, and a study of its deformation theory. We also develop an in-depth analysis of the examples X = P2 and X = Blp (P2 ), showing that the corresponding moduli spaces enjoy an ADHM-type description. In the former case, we prove irreducibility of the space and exhibit a relation with the space of framed ideal instantons on S4 in type C.
|Autori:||Scalise, Jacopo Vittorio|
|Titolo:||Frames symplectic sheaves on surfaces and their ADHM data|
|Data di pubblicazione:||19-set-2016|
|Appare nelle tipologie:||8.1 PhD thesis|
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