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math.AG2008★ 6 cited
GIT Constructions of Moduli Spaces of Stable Curves and Maps
Ian Morrison
This largely expository paper first gives an introduction to Hilbert stability and its use in Gieseker's GIT construction of . Then I review recent work in this are…
math.AG2008★ 5 cited
GIT stability of weighted pointed curves
David Swinarski
Here I give a direct proof that smooth curves with distinct marked points are asymptotically Hilbert stable with respect to a wide range of parameter spaces and linearizations. Thi…