English

A Remark on Higher Homotopy Sheaves of Derived Arc Spaces

Algebraic Geometry 2026-04-13 v2

Abstract

In their work, \cite{GR}, Gaitsgory and Rozenblyum introduce a derived version of the well-studied arc spaces of classical algebraic geometry. They observe that these derived spaces do not differ from their classical counterparts in the case of smooth schemes. In this note we will see that this is also the case for reduced local complete intersection schemes

Keywords

Cite

@article{arxiv.1806.01071,
  title  = {A Remark on Higher Homotopy Sheaves of Derived Arc Spaces},
  author = {E. Bouaziz},
  journal= {arXiv preprint arXiv:1806.01071},
  year   = {2026}
}

Comments

Withdrawn because of mistake in main theorem