Search
Now showing items 1-3 of 3
Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces
(De GruyterJournal für die reine und angewandte Mathematik, 2016)
We investigate a semi-continuity 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 ...
Homogeneous Monge-Amp$\grave e$re Equations and Canonical Tubular Neighbourhoods in Kähler Geometry
(Oxford University PressInternational Mathematics Research Notices, 2016)
We prove the existence of canonical tubular neighbourhoods around complex submanifolds of Kähler manifolds that are adapted to both the holomorphic and symplectic structure. This is done by solving the complex Homogeneous ...
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 Gieseker-stability. We prove, under a boundedness assumption, which we show to hold on threefolds ...