书目名称 | Geometric Invariant Theory for Polarized Curves |
编辑 | Gilberto Bini,Fabio Felici,Filippo Viviani |
视频video | |
概述 | An introduction to the techniques of Geometric Invariant Theory via a detailed analysis of the GIT problem for polarized curves.An introduction to the problem of compactifying moduli spaces through an |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .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 |
出版日期 | Book 2014 |
关键词 | 14L24,14H40,14C05,14H10,14D23,14B05; ; Compactified Jacobians; Geometric invariant theory; Hilbert and C |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-11337-1 |
isbn_softcover | 978-3-319-11336-4 |
isbn_ebook | 978-3-319-11337-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer International Publishing Switzerland 2014 |