English

Beyond perturbation 1: de Rham spaces

Differential Geometry 2018-03-13 v3 Algebraic Geometry

Abstract

It is shown that if one uses the notion of infinity nilpotent elements due to Moerdijk and Reyes, instead of the usual definition of nilpotents to define reduced CC^\infty-schemes, the resulting de Rham spaces are given as quotients by actions of germs of diagonals, instead of the formal neighbourhoods of the diagonals.

Cite

@article{arxiv.1701.06278,
  title  = {Beyond perturbation 1: de Rham spaces},
  author = {Dennis Borisov and Kobi Kremnizer},
  journal= {arXiv preprint arXiv:1701.06278},
  year   = {2018}
}

Comments

Difference from the published version: formulation of Proposition 9 is corrected, a footnote and a reference are added

R2 v1 2026-06-22T17:56:48.416Z