@unpublished{63620,
  abstract     = {{We introduce a new class of reflection groups associated with the canonical bilinear lattices of Lenzing, which we call reflection groups of canonical type. The main result of this work is a categorification of the corresponding poset of non-crossing partitions for any such group, realized via the poset of thick subcategories of the category of coherent sheaves on an exceptional hereditary curve generated by an exceptional sequence. A second principal result, essential for the categorification, is a proof of the transitivity of the Hurwitz action in these reflection groups.}},
  author       = {{Baumeister, Barbara and Burban, Igor and Neaime, Georges and Schwabe, Charly Merlin}},
  booktitle    = {{arXiv:2512.01729}},
  title        = {{{Non-crossing partitions for exceptional hereditary curves}}},
  year         = {{2025}},
}