Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "variation of moduli spaces"
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Semicontinuity of stability for sheaves and variation of Gieseker moduli spaces
(De GruyterJournal für die reine und angewandte Mathematik, 2016)We investigate a semicontinuity property for stability conditions for sheaves that is important for the problem of variation of the moduli spaces as the stability condition changes. We place this in the context of a notion ...

Variation of Gieseker moduli spaces via quiver GIT
(Mathematical Sciences PublishersGeometry & Topology, 2016)We introduce a notion of stability for sheaves with respect to several polarisations that generalises the usual notion of Giesekerstability. We prove, under a boundedness assumption, which we show to hold on threefolds ...