Higher Obstructions of Complex Supermanifolds
Kowshik Bettadapura
TL;DR
This paper introduces the concept of 'good models' to analyze higher obstructions in complex supermanifolds, providing conditions for their existence and illustrating the theory with examples over Riemann surfaces.
Contribution
It defines 'good models' and establishes necessary and sufficient conditions for their existence in the study of complex supermanifolds.
Findings
Conditions for the existence of good models are identified.
Illustrations over Riemann surfaces demonstrate the concepts.
Framework for analyzing higher obstructions is developed.
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.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology