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On the parameter space of B\"or\"oczky configurations

Algebraic Geometry 2018-02-20 v2

Abstract

B\"or\"oczky configurations of lines have been recently considered in connection with the problem of the containment between symbolic and ordinary powers of ideals. Here we describe parameter families of B\"or\"oczky configurations of 13, 14, 16, 18 and 24 lines and investigate rational points of these parameter spaces.

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Cite

@article{arxiv.1706.09053,
  title  = {On the parameter space of B\"or\"oczky configurations},
  author = {Łucja Farnik and Jakub Kabat and Magdalena Lampa-Baczyńska and Halszka Tutaj-Gasińska},
  journal= {arXiv preprint arXiv:1706.09053},
  year   = {2018}
}

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14 pages