Abstract
In order to construct quotients in the category of quasi-projective schemes, we need some criteria for points to be stable under a group action. The first ones, stated and proved in the beginning of Section 4.1, are straightforward application of the functorial properties of stable points. Next we formulate the Hilbert-Mumford Criterion for stability and we sketch its proof. We are not able, at present, to use this criterion for the construction of moduli schemes for higher dimensional manifolds.
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© 1995 Springer-Verlag Berlin Heidelberg
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Viehweg, E. (1995). Stability and Ampleness Criteria. In: Quasi-projective Moduli for Polarized Manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79745-3_5
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DOI: https://doi.org/10.1007/978-3-642-79745-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79747-7
Online ISBN: 978-3-642-79745-3
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