Geometric Invariant Theory for Polarized Curves

Von:

Gilberto Bini

Fabio Felici

Margarida Melo

Beschreibung

4, L. Caporaso's results hold true for both Hilbert and Chow semistability. If 3.5 Inhalt Introduction.- Singular Curves.- Combinatorial Results.- Preliminaries on GIT.- Potential Pseudo-stability Theorem.- Stabilizer Subgroups.- Behavior at the Extremes of ...

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Beschreibung

>4, L. Caporaso's results hold true for both Hilbert and Chow semistability. If

3.5

Inhalt

Introduction.- Singular Curves.- Combinatorial Results.- Preliminaries on GIT.- Potential Pseudo-stability Theorem.- Stabilizer Subgroups.- Behavior at the Extremes of the Basic Inequality.- A Criterion of Stability for Tails.- Elliptic Tails and Tacnodes with a Line.- A Stratication of the Semistable Locus.- Semistable, Polystable and Stable Points (part I).- Stability of Elliptic Tails.- Semistable, Polystable and Stable Points (part II).- Geometric Properties of the GIT Quotient.- Extra Components of the GIT Quotient.- Compactications of the Universal Jacobian.- Appendix: Positivity Properties of Balanced Line Bundles.