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On Some Conjectures About Free and Nearly Free Divisors Read chapter Read first chapter

2017 | OriginalPaper | Chapter

A Kirwan Blowup and Trees of Vector Bundles

Author : G. Trautmann

Published in: Singularities and Computer Algebra

Publisher: Springer International Publishing

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Abstract

In the paper (Markushevich et al., Cent Eur J Math 10:1331–1355, 2012) a conceptual description of compactifications of moduli spaces of stable vector bundles on surfaces has been given, whose boundaries consist of vector bundles on trees of surfaces. In this article a typical basic case for the projective plane is described explicitly including the construction of a relevant Kirwan blowup.

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previous chapter On a Theorem of Greuel and Steenbrink
Literature
1.
Eisenbud, D., Harris, J.: The Geometry of Schemes. Graduate Texts in Mathematics, vol. 197. Springer, New York (2001)
2.
Harris, J.: Algebraic Geometry. Graduate Texts in Mathematics, vol. 133. Springer, New York (1992)
3.
4.
Kirwan, F.: Partial desingularisations of quotients of nonsingular varieties and their Betti numbers. Ann. Math. 122, 41–85 (1985)MathSciNetCrossRefMATH
5.
Markushevich, D., Tikhomirov, A.S., Trautmann, G.: Bubble tree compactification of moduli spaces of vector bundles on surfaces. Cent. Eur. J. Math. 10, 1331–1355 (2012)MathSciNetCrossRefMATH
6.
Mumford, D., Fogarty, J.: Geometric Invariant Theory, 2nd enlarged edn. Springer, New York (1982)CrossRefMATH
7.
Narasimhan, M.S., Trautmann, G.: Compactification of \(M_{P_{3}}(0,2)\) and Poncelet pairs of conics. Pac. J. Math. 145, 255–365 (1990)CrossRefMATH
8.
Newstead, P.: Introduction to Moduli Problems and Orbit Spaces. Tata Institute Lectures, vol. 51, Springer (1978)
Metadata
Title
A Kirwan Blowup and Trees of Vector Bundles
Author
G. Trautmann
Copyright Year
2017
Book
Singularities and Computer Algebra

Print ISBN: 978-3-319-28828-4

Electronic ISBN: 978-3-319-28829-1

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-28829-1_18

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