### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 14 (2018), 094, 12 pages      arXiv:1804.06366      https://doi.org/10.3842/SIGMA.2018.094

### Higher Obstructions of Complex Supermanifolds

Yau Mathematical Sciences Center, Tsinghua University, Haidian, Beijing, 100084, China

Received April 29, 2018, in final form August 30, 2018; Published online September 07, 2018

Abstract
In this article we introduce the notion of a `good model' in order to study the higher obstructions of complex supermanifolds. We identify necessary and sufficient conditions for such models to exist. Illustrations over Riemann surfaces are provided.

Key words: complex supergeometry; supermanifolds; obstruction theory.

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