On the rationality of certain strata of the Lange stratification of stable vector bundles on curves.
Ballico, E. (2001)
Georgian Mathematical Journal
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Ballico, E. (2001)
Georgian Mathematical Journal
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Hein, Georg, Ploog, David (2005)
Beiträge zur Algebra und Geometrie
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Ballico, E. (1999)
Serdica Mathematical Journal
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Here we study the integers (d, g, r) such that on a smooth projective curve of genus g there exists a rank r stable vector bundle with degree d and spanned by its global sections.
Indranil Biswas, Norbert Hoffmann (2012)
Annales de l’institut Fourier
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Let and be compact Riemann surfaces of genus , and let and be nonabelian reductive complex groups. If one component of the coarse moduli space for semistable principal –bundles over is isomorphic to another component , then is isomorphic to .
Levin, Andrey M., Olshanetsky, Mikhail A., Zotov, Andrei V. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Huashi Xia (1995)
Compositio Mathematica
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Arnaud Beauville (2006)
Annales de l’institut Fourier
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Let be the moduli space of principal -bundles on a curve , and the determinant bundle on . We define an isomorphism of onto the dual of the space of -th order theta functions on the Jacobian of . This isomorphism identifies the rational map defined by the linear system with the map which associates to a quadratic bundle the theta divisor . The two components and of are mapped into the subspaces of even and odd theta functions respectively. Finally we discuss...
Machu, Francois-Xavier (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Nishimura, Hirokazu (2003)
Beiträge zur Algebra und Geometrie
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