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The algebraic theory of fuchsian singularities

Representation Theory 2019-09-24 v1

Abstract

This article has the following aims: (1) Extend the notion of fuchsian singularities (of first kind) to base fields of arbitrary characteristic. (2) Discuss their relationship to mathematical objects of a different nature. (3) Provide a purely ring-theoretic characterization of fuchsian singularities. (4) Expoloit their singularity categories and their Grothendieck groups.

Keywords

Cite

@article{arxiv.1909.10362,
  title  = {The algebraic theory of fuchsian singularities},
  author = {Helmut Lenzing},
  journal= {arXiv preprint arXiv:1909.10362},
  year   = {2019}
}

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22 pages