2000 character limit reached
A d-shifted Darboux theorem (1309.2197v1)
Published 9 Sep 2013 in math.AG
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 $f \in H{1-d}(\Cal O)$, and a quadratic bundle in middle degree. The latter only occurs if d = 4r+2.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.