Geometric invariant theory for polarized curves /

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Bibliographic Details
Author / Creator:	Bini, Gilberto, author.
Imprint:	Cham [Switzerland] : Springer, [2014]
Description:	1 online resource (x, 211 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 1617-9692 ; 2122 Lecture notes in mathematics (Springer-Verlag) ; 2122.
Subject:	Geometry, Algebraic. Invariants. Moduli theory. Geometry, Algebraic. Invariants. Moduli theory.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11089497

Hidden Bibliographic Details
Other authors / contributors:	Felici, Fabio (Mathematician), author. Melo, Margarida (Mathematician), author. Viviani, Filippo, author.
ISBN:	9783319113371 3319113372 9783319113364 3319113364
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed November 12, 2014).
Summary:	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 quotients change are given by d=a(2g-2) where a=2, 3.5, 4. We show that, for a>4, L. Caporaso's results hold true for both Hilbert and Chow semistability. If 3.5
Other form:	Printed edition: 9783319113364
Standard no.:	10.1007/978-3-319-11337-1

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