Geometric Invariant Theory for Polarized Curves

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Bini, Gilberto (Συγγραφέας), Felici, Fabio (Συγγραφέας), Melo, Margarida (Συγγραφέας), Viviani, Filippo (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
Σειρά:Lecture Notes in Mathematics, 2122
Θέματα:
Mathematics.
Algebraic geometry.
Algebraic Geometry.
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.  .

Παρόμοια τεκμήρια