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Titlebook: Geometric Invariant Theory for Polarized Curves; Gilberto Bini,Fabio Felici,Filippo Viviani Book 2014 Springer International Publishing Sw

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发表于 2025-3-21 18:01:04 | 显示全部楼层 |阅读模式
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Titlebook: Geometric Invariant Theory for Polarized Curves;  Gilberto Bini,Fabio Felici,Filippo Viviani Book 2014 Springer International Publishing Sw
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
doihttps://doi.org/10.1007/978-3-319-11337-1
isbn_softcover978-3-319-11336-4
isbn_ebook978-3-319-11337-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2014
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发表于 2025-3-21 21:36:56 | 显示全部楼层
Steven E. Hobfoll,T. Rom,Bernard Segalatural interpretation as a topological condition; it is open because . is a reduced curve by the Potential pseudo-stability Theorem . and therefore . is connected if and only if ., which is an open condition by upper-semicontinuity.
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A Stratification of the Semistable Locus,atural interpretation as a topological condition; it is open because . is a reduced curve by the Potential pseudo-stability Theorem . and therefore . is connected if and only if ., which is an open condition by upper-semicontinuity.
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Appendix: Positivity Properties of Balanced Line Bundles,The results obtained here are applied in this manuscript only for quasi-wp-stable curves; however we decided to present these results in the Gorenstein case for two reasons: firstly, we think that these results are interesting in their own (in particular we will generalize our proofs extend without any modifications to the Gorenstein case.
发表于 2025-3-22 18:57:56 | 显示全部楼层
Gilberto Bini,Fabio Felici,Filippo VivianiAn 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
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Legal Issues in Perinatal Addiction,y Mumford and his co-authors (see [MFK94]), was the construction of the moduli space .. of smooth curves of genus . ≥ 2 and its compactification . via . (i.e. connected nodal projective curves with finite automorphism group), carried out by Mumford [Mum77] and Gieseker [Gie82].
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