Geometric Invariant Theory for Polarized Curves

We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for the Hilbert and Chow schemes of curves of degree d and genus g in a projective space of dimension d-g, as d decreases with respect to g. We prove that the first three values of d at which the GIT quotie...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bini, Gilberto (Autor), Felici, Fabio (Autor), Melo, Margarida (Autor), Viviani, Filippo (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes in Mathematics, 2122
Temas:
Algebraic geometry.
Algebraic Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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