TY - BOOK AU - Bini,Gilberto AU - Felici,Fabio AU - Melo,Margarida AU - Viviani,Filippo TI - Geometric invariant theory for polarized curves T2 - Lecture notes in mathematics ; SN - 9783319113364 (hard cover : alk. paper) U1 - 516.35 23 PY - 2014/// CY - Switzerland PB - Springer KW - Algebraic Geometry. KW - Invariants. KW - Moduli theory N1 - Includes bibliographical references and index; 1. Introduction -- 2. Singular Curves -- 3. Combinatorial Results -- 4. Preliminaries on GIT -- 5. Potential Pseudo-stability Theorem -- 6. Stabilizer Subgroups -- 7. Behavior at the Extremes of the Basic Inequality -- 8. A Criterion of Stability for Tails -- 9. Elliptic Tails and Tacnodes with a Line -- 10. A Strati_cation of the Semistable Locus -- 11. Semistable, Polystable and Stable Points (part I) -- 12. Stability of Elliptic Tails -- 13. Semistable, Polystable and Stable Points (part II) -- 14. Geometric Properties of the GIT Quotient -- 15. Extra Components of the GIT Quotient -- 16. Compacti_cations of the Universal Jacobian -- 17. Appendix: Positivity Properties of Balanced Line Bundles-- References-- Index ER -