Degenerations of moduli of stable bundles over algebraic curves
Huashi Xia (1995)
Compositio Mathematica
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Displaying similar documents to “Moduli of orthogonal and spin bundles over hyperelliptic curves”
Degenerations of moduli of stable bundles over algebraic curves
Unstable hyperplane for Steiner bundles and multidimensional matrices.
Ancona, Vincenzo, Ottaviani, Giorgio (2001)
Advances in Geometry
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Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves
Indranil Biswas, Amit Hogadi, Yogish Holla (2014)
Open Mathematics
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Let X be an irreducible smooth complex projective curve of genus g, with g ≥ 2. Let N be a connected component of the moduli space of semistable principal PGLr (ℂ)-bundles over X; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of N is trivial.
The decomposition and specialization of algebraic families of vector bundles
Stephen S. Shatz (1977)
Compositio Mathematica
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Vector bundles on manifolds without divisors and a theorem on deformations
Georges Elencwajg, O. Forster (1982)
Annales de l'institut Fourier
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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.
The line bundles on the moduli of parabolic -bundles over curves and their sections
Yves Laszlo, Christoph Sorger (1997)
Annales scientifiques de l'École Normale Supérieure
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Bounds for Chern classes of semistable vector bundles on complex projective spaces
Wiera Dobrowolska (1993)
Colloquium Mathematicae
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This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on and a generalization of the presented method to r-bundles on is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.