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Iskovskikh Seminar
October 30, 2014 18:00, Moscow, Steklov Mathematical Institute, room 530
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On vector bundles over rationally connected varieties
K. Khrabrov M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract:
Following the papers by Indranil Biswas and Joao Pedro P. Dos Santos (“On
the vector bundles over rationally connected varieties”, “Triviality
criteria for vector bundles over rationally connected varieties”) we will
prove the following triviality criteria for a vector bundle EE on a
rationally connected variety XX: if for every rational curve on XX the
restriction of EE to every rational curve is trivial, then EE is itself
trivial.
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