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Geometric invariant theory and applications to moduli problems

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 996)

Keywords

  • Modulus Space
  • Line Bundle
  • Algebraic Group
  • Global Section
  • Hilbert Scheme

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References

  • [G1] Gieseker, D., On the moduli of vector bundles on an algebraic surface. Ann. of Math 106, 45 (1977).

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  • [G2] _____, Global moduli for surfaces of general type. Inv. Math. 43, 233 (1977).

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  • [G3] _____, Lectures on Stable Curves, Tata Lecture Notes.

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  • [G4] _____, A degeneration of the moduli space of stable bundles. (To appear)

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  • _____ and I. Morrison, Hilbert stability of rank two bundles on curves.

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  • Maruyama, M., Moduli of stable sheaves I, II J. Math. Soc. Kyoto 17, 91 (1977) and 18, 557, (1978).

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  • [M1] Mumford, D. and J. Fogarty. Geometric Invariant Theory. Second Enlarged Edition. Springer Verlag 1982.

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  • [M2] _____, Stability of projective varieties. L'Ens Math. 24 (1977).

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  • Newstead, P. E. Introduction to Moduli Problems and Orbit Spaces. Tata Inst. Lecture Notes, Springer Verlag, 1978.

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© 1983 Springer-Verlag Berlin Heidelberg

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Gieseker, D. (1983). Geometric invariant theory and applications to moduli problems. In: Gherardelli, F. (eds) Invariant Theory. Lecture Notes in Mathematics, vol 996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063235

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  • DOI: https://doi.org/10.1007/BFb0063235

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12319-4

  • Online ISBN: 978-3-540-40043-1

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