

Iskovskikh Seminar
October 30, 2014 18:00, Moscow, Steklov Mathematical Institute, room 540






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 $E$ on a
rationally connected variety $X$: if for every rational curve on $X$ the
restriction of $E$ to every rational curve is trivial, then $E$ is itself
trivial.

