Browsing by Autor "Jarod Alper"
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Item type: Item , Finite Hilbert stability of (bi)canonical curves(Springer Science+Business Media, 2012) Jarod Alper; Maksym Fedorchuk; David Ishii SmythItem type: Item , Local properties of good moduli spaces(Tohoku University, 2012) Jarod AlperWe study the local properties of Artin stacks and their good moduli spaces, if they exist. We show that near closed points with linearly reductive stabilizer, Artin stacks formally locally admit good moduli spaces. In particular, the geometric invariant theory is developed for actions of linearly reductive group schemes on formal affine schemes. We also give conditions for when the existence of good moduli spaces can be deduced from the existence of étale charts admitting good moduli spaces.Item type: Item , Local properties of good moduli spaces(Cornell University, 2009) Jarod AlperWe study the local properties of Artin stacks and their good moduli spaces, if they exist. We show that near closed points with linearly reductive stabilizer, Artin stacks formally locally admit good moduli spaces. We also give conditions for when the existence of good moduli spaces can be deduced from the existence of etale charts admitting good moduli spaces.Item type: Item , RECASTING RESULTS IN EQUIVARIANT GEOMETRY(Birkhäuser, 2012) Jarod Alper; Robert W. EastonItem type: Item , Recasting results in equivariant geometry: affine cosets, observable subgroups and existence of good quotients(2010) Jarod Alper; Robert W. EastonUsing the language of stacks, we recast and generalize a selection of results in equivariant geometry.