Titlebook: Geometric Invariant Theory for Polarized Curves; Gilberto Bini,Fabio Felici,Filippo Viviani Book 2014 Springer International Publishing Sw

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Anouar Belkacemi,Pieter R. StellaThe aim of this chapter is to describe the points of Hilb. that are Hilbert or Chow semistable, polystable and stable for . The GIT analysis in this range is based on a nice numerical trick that uses the following

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A. Quinton,F. Zerbib,H. LamouliatteFor any .?>?2(2. ? 2), consider the open and closed subscheme . of the Chow-semistable locus . consisting of connected curves, see (.). From now on, in order to shorten the notation, we set . and we call .. the . of the Chow-semistable locus.

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Drug-Induced Oral ComplicationsSo far, we have considered the action of . over Hilb., and we have restricted our attention to . and ., the Chow or Hilbert semistable loci consisting of connected curves. It is very natural to ask if there are Chow or Hilbert semistable points . with . not connected. In this chapter we will answer this question.

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Singular Curves,The aim of this chapter is to collect the definitions and basic properties of the curves that we will deal with throughout the manuscript.

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Combinatorial Results,The aim of this chapter is to collect all the combinatorial results that will be used in the sequel.

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Preliminaries on GIT,In this chapter we review some basic material on Geometric Invariant Theory.

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