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Geometric Invariant Theory for Polarized Curves
Paperback
Series: Lecture Notes in Mathematics, Book 2122
ISBN13: 9783319113364
Publisher: Springer Nature
Published: Nov 19 2014
Pages: 211
Weight: 0.71
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English
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 Strati_cation 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.- Compacti_cations of the Universal Jacobian.- Appendix: Positivity Properties of Balanced Line Bundles.
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