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arXiv · 1309.2197

A d-shifted Darboux theorem

E. Bouaziz·I. Grojnowski
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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.

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E. Bouaziz, I. Grojnowski. 2013-09-09. A d-shifted Darboux theorem. https://arxiv.org/abs/1309.2197

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