English

On the construction of quotient spaces by algebraic foliations

Algebraic Geometry 2021-10-13 v1

Abstract

Given a variety defined over a field of characteristic zero and an algebraically integrable foliation of corank less than or equal to two, we show the existence of a categorical quotient, defined on the non-empty open set of stable points, through which every invariant morphism factors uniquely.

Keywords

Cite

@article{arxiv.2110.05963,
  title  = {On the construction of quotient spaces by algebraic foliations},
  author = {Federico Bongiorno},
  journal= {arXiv preprint arXiv:2110.05963},
  year   = {2021}
}

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40 pages