On Poincaré bundles of vector bundles on curves

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On Poincaré Bundles of Vector Bundles on Curves

Let M denote the moduli space of stable vector bundles of rank n and fixed determinant of degree coprime to n on a non-singular projective curve X of genus g ≥ 2. Denote by U a universal bundle on X × M . We show that, for x, y ∈ X, x 6= y, the restrictions U|{x} × M and U|{y} × M are stable and nonisomorphic when considered as bundles on X .

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ژورنال

عنوان ژورنال: manuscripta mathematica

سال: 2005

ISSN: 0025-2611,1432-1785

DOI: 10.1007/s00229-005-0553-6