Geometric Invariant Theory for Polarized Curves

• Main Authors: Bini, Gilberto (Author), Felici, Fabio (Author), Melo, Margarida (Author), Viviani, Filippo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2122
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

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...