Stable bundles and algebraically completely integrable systems
L. Katzarkov, T. Pantev (1994)
Compositio Mathematica
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L. Katzarkov, T. Pantev (1994)
Compositio Mathematica
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Yves Laszlo, Christoph Sorger (1997)
Annales scientifiques de l'École Normale Supérieure
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Huashi Xia (1995)
Compositio Mathematica
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Yves Laszlo (1998)
Annales de l'institut Fourier
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Let be a complex algebraic group, simple and simply connected, a maximal torus and the Weyl group. One shows that the coarse moduli space parametrizing -equivalence classes of semistable -bundles over an elliptic curve is isomorphic to . By a result of Looijenga, this shows that is a weighted projective space.
Nitin Nitsure (1989)
Compositio Mathematica
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Vasile Brînzănescu, Ruxandra Moraru (2005)
Annales de l’institut Fourier
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In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.