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Non-locally-free locus of O’Grady’s ten dimensional example

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We give a completely explicit description of the fibers of the natural birational morphism from O’Grady’s ten dimensional singular moduli space of sheaves on a K3 surface to the corresponding Donaldson–Uhlenbeck compactification.

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  1. Yasunari Nagai

    Present address: Department of Mathematics, Faculty of Science and Engineering, Waseda University, 3-8-1 Komaba Meguro, 169-8555, Tokyo, Japan

Authors and Affiliations

  1. Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro, Tokyo, 153-8914, Japan

    Yasunari Nagai

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  1. Yasunari Nagai
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Correspondence to Yasunari Nagai.

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Nagai, Y. Non-locally-free locus of O’Grady’s ten dimensional example. manuscripta math. 142, 127–156 (2013). https://doi.org/10.1007/s00229-012-0595-5

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  • DOI: https://doi.org/10.1007/s00229-012-0595-5

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