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Tilting bundles on orders on ℙd

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Abstract

We introduce a class of orders on ℙd called Geigle-Lenzing orders and show that they have tilting bundles. Moreover we show that their module categories are equivalent to the categories of coherent sheaves on Geigle- Lenzing projective spaces introduced in [HIMO].

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Authors and Affiliations

  1. Graduate School of Mathematics, Nagoya University Chikusa-ku, Nagoya, 464-8602, Japan

    Osamu Iyama & Boris Lerner

Authors
  1. Osamu Iyama
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  2. Boris Lerner
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Corresponding author

Correspondence to Osamu Iyama.

Additional information

The first author was partially supported by JSPS Grant-in-Aid for Scientific Research 24340004, 23540045, 20244001 and 22224001.

The second author was supported by JSPS postdoctoral fellowship program.

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Iyama, O., Lerner, B. Tilting bundles on orders on ℙd . Isr. J. Math. 211, 147–169 (2016). https://doi.org/10.1007/s11856-015-1263-8

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  • DOI: https://doi.org/10.1007/s11856-015-1263-8

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