A d-shifted Darboux theorem
Algebraic Geometry
2013-09-10 v1
Abstract
We give a local model for d-shifted symplectic dg-schemes, or Deligne-Mumford dg-stacks [PTVV]. Locally any such is a product of a "twisted shifted cotangent bundle", where the twist is given by an element df, with , and a quadratic bundle in middle degree. The latter only occurs if d = 4r+2.
Keywords
Cite
@article{arxiv.1309.2197,
title = {A d-shifted Darboux theorem},
author = {E. Bouaziz and I. Grojnowski},
journal= {arXiv preprint arXiv:1309.2197},
year = {2013}
}