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Geometric invariant theory for polarized curves / Gilberto Bini...[et al.].

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2122Publication details: Switzerland : Springer, 2014.Description: x, 211 p. : illustrations ; 24 cmISBN:
  • 9783319113364 (hard cover : alk. paper)
Subject(s): DDC classification:
  • 516.35 23 B613
Contents:
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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 516.35 B613 (Browse shelf(Opens below)) Available 136438
Total holds: 0

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.

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